Papers

Author	Title	Remarks
Year 2022
Xuanlong Fu Huaxin Lin	Nonamenable simple C^∗-algebras with tracial approximation	Forum Math. Sigma, 10 (2022), Paper No. e14, 50 pp.
Xuanlong Fu Huaxin Lin	Tracial approximation in simple C*-algebras	Canadian Journal of Mathematics, (2021), pp. 1-63, (published online).
Huaxin Lin	Unitary groups and augmented Cuntz semigroups of separable simple Z-stable C^*-algebras	Internat. J. Math., 33 (2022), no. 2, Paper No. 2250018, 49 pp.
Jintao Deng Benyin Fu Qin Wang	The equivariant coarse Baum-Connes conjecture for metric spaces with proper group actions	Journal of Noncommutative Geometry, (to appear).
Liang Guo Huan Wang Qin Wang	On the quotients of coarse structures and Roe algebras	Topology and its Applications, 319 (2022), Paper No. 108227, 18 pp.
Liang Guo Zheng Luo Qin Wang Yazhou Zhang	K-theory of the maximal and reduced Roe algebras of metric spaces with A-by-CE coarse fibrations	Journal of Topology and Analysis, (to appear).
Zheng Luo Qin Wang Yazhou Zhang	The coarse Novikov conjecture for coarse fibrations over Banach spaces with Property (H)	Ann. Funct. Anal., 13 (2022), no. 3, 47.
Peter Hochs Bai-Ling Wang Hang Wang	An equivariant Atiyah-Patodi-Singer index theorem for proper actions II: the K-theoretic index	Math. Z., 301 (2022), no. 2, 1333–1367.
Zhuofeng He Sihan Wei	A note on the nuclear dimension of Cuntz-Pimsner C*-algebras associated with minimal shift spaces	Canadian Journal of Mathematics, (published online).
Jens Kaad Valerio Proietti	Index theory on the Miščenko bundle	Kyoto J. Math., 62 (2022), no. 1, 103–131.
Valerio Proietti Makoto Yamashita	Homology and K-theory of dynamical systems I. Torsion-free ample groupoids	Ergodic Theory Dynam. Systems, 42 (2022), no. 8, 2630–2660.
Valerio Proietti Makoto Yamashita	Homology and K-theory of dynamical systems. II. Smale spaces with totally disconnected transversal	J. Noncomm. Geomerty, (to appear).
Jianguo Zhang Dapeng Zhou	Uniformly bounded fibred coarse embeddability and uniformly bounded a-T-menability	J. Math. Anal. Appl., 513 (2022), no. 1, Paper No. 126221, 16 pp.
Year 2021
Yoshiyasu Fukumoto	G-homotopy invariance of the analytic signature of proper co-compact G-manifolds and equivariant Novikov conjecture	J. Noncommut. Geom., 15 (2021), no. 3, 761–795.
Christian Bonicke Sayan Chakraborty Zhuofeng He Hung-Chang Liao	A note on crossed products of rotation algebras	J. Operator Theory, 85 (2021), no. 2, 391–402.
Xuanlong Fu Huaxin Lin	Tracial approximation in simple C*-algebras	Canadian Journal of Mathematics, (2021), pp. 1-63, (published online).
Guihua Gong Huaxin Lin Zhuang Niu	Homomorphisms into simple Z-stable C*-algebras, II	J. Noncomm. Geomerty, (to appear).
Huaxin Lin	Unitary groups and augmented Cuntz semigroups of separable simple Z-stable C*-algebras	International J. Math., ( to appear).
Valerio Proietti Makoto Yamashita	Homology and K-theory of dynamical systems. I. torsion-free ample groupoids	Ergodic Theory Dynam. Systems, ( to appear).
Valerio Proietti Makoto Yamashita	Homology and K-theory of dynamical systems. II. Smale spaces with totally disconnected transversal	J. Noncomm. Geomerty, (to appear).
Cangyuan Wang	Extensions of the UHF-algebra of 2^∞-type by C*-algebras with continuous scale	J. Math. Anal. Appl., 498 (2021), no. 2, 124959.
Tsuyoshi Kato Hirofumi Sasahira Hang Wang	Twisted Donaldson invariants	Math. Proc. Cambridge Philos. Soc., 171 (2021), no. 3, 515–568.
Peter Hochs Bai-Ling Wang Hang Wang	An Equivariant Atiyah–Patodi–Singer Index Theorem for Proper Actions I: The Index Formula	International Mathematics Research Notices, Vol. 00, No. 0, pp. 1–56, (published online).
Lin Shan Qin Wang	The coarse geometric l^p-Novikov conjecture for subspaces of nonpositively curved manifolds	J. Noncommut. Geom., 15 (2021), no. 4, 1323–1354.
Qin Wang Zhen Wang	Notes on the l^p -Toeplitz algebra on l^p(N)	Israel J. Math., 245 (2021), no. 1, 153–163.
Jianguo Zhang Dapeng Zhou	L^p coarse Baum–Connes conjecture and K-theory for L^p Roe algebras	J. Noncommut. Geom. 15 (2021), no. 4, 1285–1322.
Year 2020
Xiaoman Chen Benyin Fu Qin Wang Dapeng Zhou	Equivariant higher-index problems for proper actions and nonpositively curved manifolds	Kyoto Journal of Mathematics 60 (2020), no. 2, 575–591
George A. Elliott Guihua Gong Huaxin Lin Zhuang Niu	The classification of simple separable KK-contractible C∗-algebras with finite nuclear dimension	Journal of Geometry and Physics 158 (2020), 103861
George A. Elliott Guihua Gong Huaxin Lin Zhuang Niu	Simple stably projectionless C∗-algebras with generalized tracial rank one	Journal of Noncommutative Geometry 14 (2020), no. 1, 251–347
Xuanlong Fu	Simple generalized inductive limits of C*-algebras	Science China Mathematics 2020, 63
Guihua Gong Huaxin Lin	On classification of non-unital amenable simple C∗-algebrass, II	Journal of Geometry and Physics 158 (2020), 103865
Guihua Gong Huaxin Lin Zhuang Niu	A classification of finite simple amenable Z-stable C-algebras, I: C-algebras with generalized tracial rank one	C. R. Math. Rep. Acad. Sci. Canada Vol. 42 (3) 2020, pp. 63-450
Guihua Gong Huaxin Lin Zhuang Niu	A classification of finite simple amenable Z-stable C-algebras, II: C-algebras with rational generalized tracial rank one	C. R. Math. Rep. Acad. Sci. Canada 42 (4) 2020, pp. 451-539
Peter Hochs Hang Wang	An equivariant orbifold index for proper actions	Journal of Geometry and Physics 154 (2020), 103710
Shanwen Hu Huaxin Lin	Convex hulls of unitary orbits of normal elements in C∗-algebras with tracial rank zero	Journal of Functional Analysis 278 (2020), no. 2, 108306
Botao Long Wei Wu	Lipschitz isometries of compact quantum metric spaces	Journal of Mathematical Analysis and Applications 486 (2020), no. 2, 123917
Bram Mesland Mehmet Haluk Sengun Hang Wang	A K-theoretic Selberg Trace Forumla	Book Chapter in Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology: Ronald G. Douglas Memorial Volume 2020
Shintaro Nishikawa Valerio Proietti	Groups with Spanier-Whitehead duality	Annals of K-Theory 5 (2020), no. 3, 465–500
Valerio Proietti	A note on homology for Smale spaces	Groups, Geometry, and Dynamics 14 (2020), no. 3, 813–836
Qin Wang Zhen Wang	Persistence approximation property for maximal Roe algebras	Chin. Ann. Math. Ser. B 41 (2020), no. 1, 1–26
Year 2019
Hao Guo Varghese Mathai Hang Wang	Positive scalar curvature and Poincaré duality for proper actions	Journal of Noncommutative Geometry 13 (2019), no. 4, 1381–1433
Peter Hochs Hang Wang	Orbital integrals and K-theory classes	Annals of K-theory 4 (2019), no. 2, 185–209
Hui Li Dilian Yang	KMS states of self-similar k-graph C∗-algebras	Journal of Functional Analysis 276 (2019), no. 12, 3795–3831
Hui Li Dilian Yang	Boundary quotient C∗-algebras of products of odometers	Canadian Journal of Mathematics. 71 (2019), no. 1, 183–212
Year 2018
Jianbing Cao Yifeng Xue	Perturbation analysis of the Moore-Penrose metric generalized inverse with applications	Banach Journal of Mathematical Analysis 12 (2018), 709-729
Qingjin Cheng Qin Wang	On Banach spaces with Kasparov and Yu's Property (H)	Journal of Mathematical Analysis and Applications 457 (2018), 200-213
Gonçalves Daniel Hui Li Danilo Royer	Branching systems for higher-rank graph C*-algebras	Glasgow Mathematical Journal 60 (2018), 731-751
Peter Hochs Hang Wang	A fixed point theorem on noncompact manifolds	Annals of K-Theory 3 (2018), 235-286
Peter Hochs Hang Wang	A fixed point formula and Harish-Chandra's character formula	Proceedings of the London Mathematical Society 116 (2018), 1-32
Huaxin Lin	Crossed products and minimal dynamical systems	Journal of Topology and Analysis 10 (2018), 447-469
Zhituo Wang	Constructive renormalization of the 2-dimensional Grosse-Wulkenhaar model	Ann. Henri Poincaré 19 (2018), no. 8, 2435–2490
Huaxin Lin	From the basic homotopy lemma to the classification of C*-algebras.	CBMS Regional Conference Series in Mathematics, 124. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2017. vi+240 pp. ISBN: 978-1-4704-3490-8
Year 2017
Jonathan Brown Hui Li Dilian Yang	Cartan subalgebras of topological graph algebras and k-graph C*-algebras	Münster Journal of Mathematics 10 (2017), 367-381
Jianbing Cao Yifeng Xue	Perturbation analysis of the algebraic metric generalized inverse in L^p(omega,mu)	Numerical Functional Analysis and Optimization 38 (2017), 1624-1643
Kuokfai Chao Hang Wang	Langlands functorality in K-theory for C*-algebras. I. Base change	Journal of Noncommutative Geometry 11 (2017), 1001-1036
George Elliott Guihua Gong Huaxin Lin Zhuang Niu	The classification of simple separable unital Z-stable locally ASH algebras	Journal of Functional Analysis 272 (2017), 5307-5359
Jun He Jiankui Li Wenhua Qian	Characterizations of centralizers and derivations on some algebras	Journal of Korean Mathematical Society 54, 2, 685-696 (2017)
Alex Kumjian Hui Li	Twisted topological graph algebras are twisted groupoid C*-algebras	Journal of Operator Theory 78 (2017), 201-225
Hui Li	Twisted topological graph algebras	Houston Journal of Mathematics 43 (2017), 459-494
Huaxin Lin	Homomorphisms from AH-algebras	Journal of Topology and Analysis 9 (2017), 67-125
Huaxin Lin Wei Sun	Tensor products of classifiable C*-algebras	Journal of Topology and Analysis 9 (2017), 485-504
Botao Long Wei Wu	Isometry groups of twisted reduced group C*-algebras	International Journal of Mathematics 28 (2017), no. 14, 1750101, 28 pp
Botao Long Wei Wu	Matrix algebras converging to the sphere and noncommutative metric geometry	Acta Mathematica Sinica. Chinese Series 60 (2017), 133-148
Botao Long Wei Wu	Twisted group C*-algebras as compact quantum metric spaces	Results in Mathematics 71 (2017), 911-931
Year 2016
Gonçalves, Daniel Hui Li D. Royer	Branching systems and general Cuntz-Krieger uniqueness theorem for ultragraph C*-algebras	Internat. J. Math. 27 (2016), no. 10,1650083, 26 pp
Gonçalves, Daniel Hui Li D. Royer	Faithful representations of graph algebras via branching systems	Canad. Math. Bull 59 (2016), no. 1, 95–103
Huaxin Lin	算子代数分类浅探	Science China Mathematics 2016, 046(012):1773-1790.
Huaxin Lin Ping Wong Ng	The corona algebra of the stabilized Jiang-Su algebra	J. Funct. Anal. 270 (2016), no. 3, 1220–1267
Zhi Liu Youqing Ji Yuanhang Zhang	On the topological stable rank of a noncommutative version of the disc algebra	Complex Anal. Oper. Theory 10 (2016), no. 4, 783–794
Wenhua Qian Junhao Shen	Similarity degree of a class of $C^*$-algebras	Integral Equations and Operator Theory 84, 121-149(2016)
Chao You	Group action preserving the Haagerup property of C*-algebras	Bull. Aust. Math. Soc. 93 (2016), no. 2, 295–300
Year 2015
Huaxin Lin	Minimal dynamical systems on connected odd dimensional spaces	Canad. J. Math. 67 (2015), no. 4, 870–892
Chao You	Group actions preserving Haagerup property of $C^*$-algebras	Bull. Aust. Math. Soc.
Chao You	The parallel refinement of weakening idempotent pair	Linear and Multilinear Algebra
Xiaoman Chen Qin Wang Guoliang Yu	The coarse Novikov conjecture and Banach spaces with Property (H)	J. Funct. Anal. 268. (2015), no. 9, 2754-2786
Guihua Gong Huaxin Lin Yifeng Xue	Determinant rank of $C^*$-algebras	Pacific J. Math. 274 (2015), no. 2, 405-436
Shanwen Hu Huaxin Lin	Distance between unitary orbits of normal elements in simple $C^*$-algebras of real rank zero	J. Funct. Anal. 269 (2015), no. 2, 355–437
Jiajie Hua Huaxin Lin	Rotation algebras and the Exel trace formula	Canad. J. Math. 67. (2015), no. 2., 404--423.
Hui Li	Twisted topological graph algebras	Bull. Austral. Math. Soc. (2015), 1--2.
Hui Li	Branching systems of ultragraphs, Perron-Frobenius operators	Austral. Math. Soc. Gaz. 42 (2015), 26--27.
Huaxin Lin	Kishimoto's Conjugacy Theorems in simple $C^*$-algebras of tracial rank one	Integral Equations Operator Theory 83 (2015), no. 1, 95–150
Huaxin Lin Zhuang Niu	Asymptotic unitary equivalence in $C^*$-algebras	Russ. J. Math. Phys. 22 (2015), no. 3, 336–360
Xiaoman Chen Qin Wang Xianjin Wang	Truncation approximations and spectral invariant subalgebras in uniform Roe algebras of discrete groups	J. Fourier Anal. Appl. 21 (2015), no. 3, 555–574
Xiaoman Chen Qin Wang Xianjin Wang	Truncation approximation and spectral invariant subalgebras in uniform Roe algebras of discrete groups	Journal of Fourier Analysis and Applications (accepted, to appear in 2015)
Year 2014
Huaxin Lin	Localizing the Elliott Conjecture at Strongly Self-absorbing $C^*$-algebras (II)	J. Reine Angew. Math., 692 (2014), 233–243
Huaxin Lin Zhuang Niu	Homomorphisms into simple $\mathcal{Z}$-stable $C^*$-algebras	J. Operator Theory 71 (2014), no. 2, 517–569. 46L35
Xiaoman Chen Qin Wang Zhijie Wang	Fibred coarse embedding into non-positively curved manifolds and higher index problem	J. Func. Anal., Vol 267, Issue 11, 4029-4065
Qin Wang Wenjing Wang Xianjin Wang	Permanence of metric sparsification property under finite decomposition complexity	Chinese Ann. Math., Series B, 35 (5), 2014, 751-760
Huaxin Lin	A short return to simple AH-algebras with real rank zero	Math. Scand. 114 (2014), no. 2, 264–274
Shanwen Hu Yifeng Xue	Completeness of n-tuples of projections in C*-algebras	J. Operator Theory 72 (2014), no. 1, 49–70
Shanwen Hu Yifeng Xue	$C^*$-algebras generated by three projections	Oper. Matrices 8 (2014), no. 1, 117–128
Junping Liu Yifan Zhang	Approximated by finite-dimensional homomorphisms into Simple $C^*$-Algebras with Tracial Rank One	Proc. Amer. Math. Soc. 142 (2014), no. 11, 3941–3952.
V. Manuilov Chao You	Vector bundles from generalized pairs of cocycles	Int. J. Math. 25 (2014), no. 6
Huaxin Lin	Exponentials in simple ${\cal Z}$-stable $C^*$-algebras	J. Func. Anal. 266 (2014), 754-791
Year 2013
Xiaoman Chen Qin Wang Guoliang Yu	The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space	Adv. Math., 249 (2013), 88 -- 130
Xiaoman Chen Qin Wang Xianjin Wang	Characterization of the Haagerup Property by Fibred Coarse Embedding into Hilbert Space	Bull. London Math. Soc., (2013) 45 (5): 1091-1099.
Junsheng Fang Chunlan Jiang Huaxin Lin Feng Xu	On Generalized Universal Irrational Rotation Algebras and Associated Strongly Irreducible Operators	Int. J. Math., 24, 1350059 (2013)
Wei Sun	Crossed product $C^*$-algebras of minimal dynamical systems on the product of the Cantor set and the torus	J. Funct. Anal., 265 (2013), 1105 - 1169
Huaxin Lin Ping Wong Ng	The corona algebra of stablized Jiang-Su algebra	Preprint
Year 2012
Huaxin Lin	Approximately diagonalizing matrices over $C(Y)$	PNAS, 2012 109 (8) 2842-2847
Huaxin Lin	Approximate unitary equivalence in simple $C^*$-algebras of tracial rank one	Trans. Amer. Math. Soc., 364 (2012), 2021-2086
Huaxin Lin Wei Sun	Tensor Products of Classifiable $C^*$-algebras	Preprint
Shanwen Hu Yifeng Xue	$C^*$-algebras generated by three projections	Preprint
Shanwen Hu Yifeng Xue	Completeness of $n$–tuple of projections in $C^*$-algebras	Preprint
Year 2011
Huaxin Lin	Asymptotic unitary equivalence and classification of simple amenable $C^*$-algebras	Invent. Math., 183 (2011), no. 2, 385–450.
Huaxin Lin Zhuang Niu	The range of a class of classifiable separable simple amenable $C^*$-algebras	J. Funct. Anal., 260 (2011), no. 1, 1–29.
Changguo Wei	Classification of unital extensions of A${\mathbb T}$-algebras	Internat. J. Math., 22 (2011), no. 8, 1187–1208.
Huaxin Lin	A short return to simple AH-algebras with real rank zero	Preprint
Huaxin Lin	On locally AH algebras	Preprint
Huaxin Lin	Homomorphisms from AH-algebras	Preprint
Huaxin Lin	Homotopy in the Cuntz semigroups and Hilbert modules	Preprint
Year 2010
Huaxin Lin	Homotopy of unitaries in simple $C^*$-algebras with tracial rank one	J. Funct. Anal., 258 (2010), no. 6, 1822–1882.
Huaxin Lin	Inductive limits of subhomogeneous $C^*$-algebras with Hausdorff spectrum	J. Funct. Anal., 258 (2010), no. 6, 1909–1932.
Huaxin Lin N. Christopher Phillips	Crossed products by minimal homeomorphisms	J. Reine Angew. Math., 641 (2010), 95–122.
Huaxin Lin	Cuntz semigroups of $C^*$-algebras of stable rank one and projective Hilbert modules	Preprint
Changguo Wei	Universal coefficient theorems for unital extensions of $C^*$-algebras and the BDF-theory	Preprint
Huaxin Lin	Unitaries in a simple $C^*$-algebra of tracial rank one	Internat. J. Math. 21 (2010), no. 10, 1267–1281

Books

Author

Title

Remarks

Raul E Curto

William Helton

Huaxin Lin

Xiang Tang

Rongwei Yang

Guoliang Yu

Editors

Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology: Ronald G. Douglas Memorial Volume

(This book is the proceeding of the International Workshop on Operator Theory and Applications held in July 2018 in ECNU.)

(Operator Theory: Advances and Applications Book 278) 1st ed.

Birkhäuser 2020,

ISBN-13: 978-3030433796

Yifeng Xue

Stable Perturbations of Operators and Related Topics

ISBN-13978-981-4383-59-2

ISBN-10 981-4383-59-7