School of Mathematical Sciences, East China Normal University

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Wang, Hang ( 王航 )

Title：	Professor
Department：	Pure Mathematics
Office：	Room A505, Science Building/Room 316, Math Building
Telephone：	54342646-316
Email：	wanghang@math.ecnu.edu.cn
Homepage：	http://math.ecnu.edu.cn/~wanghang

Research Interest

Functional Analysis, Noncommutative Geometry

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Selected Publications

Papers:
Books:

Recent Publications(From MathSciNet)

MR4933764 Reviewed Wang, Hang; Zhang, Chaohua; Zhou, Dapeng $p$ $p$ -summable localization $*$ $*$ -algebras and Roe $*$ $*$ -algebras. J. Math. Anal. Appl. 553 (2026), no. 1, Paper No. 129888, 10 pp. (Reviewer: Jinmin Wang) 46L80 (19K35 58J22)

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Publication Year 2026 Indexed 2025-09-16 Review Published2025-12-24

MR4976174 Reviewed Guo, Hao; Hochs, Peter; Wang, Hang A higher index theorem on finite-volume locally symmetric spaces. Münster J. Math. 18 (2025), no. 1, 85–118. (Reviewer: Lin Shan) 19K56 (22E40 58J20)

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Publication Year 2025 Indexed 2025-12-03 Review Published2026-04-03

MR4959797 Pending Wang, Hang; Wang, Zijing Index theorem for homogeneous spaces of Lie groups. J. Noncommut. Geom. 19 (2025), no. 4, 1443–1513. 19K56 (19L10 46L80 58B34 58J20)

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Publication Year 2025 Indexed 2025-11-05

MR4931337 Reviewed Wang, Hang; Wang, Yanru; Zhang, Jianguo; Zhou, Dapeng $L^p$ $L^p$ coarse Baum-Connes conjecture via $C_0$ $C_0$ coarse geometry. Topology Appl. 373 (2025), Paper No. 109518, 30 pp. 46L80 (55U10 58B34)

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Publication Year 2025 Indexed 2025-09-05 Review Published2026-04-29

MR4894302 Reviewed Ren, Baiying; Wang, Hang; Wang, Zijing An equivariant index theorem on $\Bbb R^n$ $\Bbb R^n$ in the context of continuous fields of $C^*$ $C^*$ -algebras. Sci. China Math. 68 (2025), no. 5, 1177–1200. (Reviewer: Man-Ho Ho) 58B34 (19D55 19K56 46L80 58J20)

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Publication Year 2025 Indexed 2025-06-05 Review Published2025-10-27

MR4844618 Reviewed Wang, Hang Dirac operators and representation theory. $K$ -theory and representation theory, 99–156, London Math. Soc. Lecture Note Ser., 494, Cambridge Univ. Press, Cambridge, 2025. (Reviewer: Tatsuki Seto) 58B34 (19K56 22E46 53C27 53D50)

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Publication Year 2025 Indexed 2025-04-18 Review Published2025-08-19

MR4832447 Reviewed Wang, Hang; Wang, Yanru; Zhang, Jianguo; Zhou, Dapeng Persistence approximation property for $L^p$ $L^p$ operator algebras. Chinese Ann. Math. Ser. B 45 (2024), no. 6, 869–904. (Reviewer: Jingming Zhu) 46L80 (19K99 46L10 54F45 58B34)

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Publication Year 2024 Indexed 2025-01-27 Review Published2025-04-30

MR4790896 Reviewed Guo, Hao; Proietti, Valerio; Wang, Hang A geometric Elliott invariant and noncommutative rigidity of mapping tori. J. Funct. Anal. 287 (2024), no. 11, Paper No. 110625, 41 pp. (Reviewer: Yuri A. Kordyukov) 46L80 (19L99 37A55 37B05 46L35 46L55)

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Publication Year 2024 Indexed 2024-10-28 Review Published2025-10-03

MR4727283 Reviewed Lim, Johnny; Wang, Hang Equivariant spectral flow and equivariant $\eta$ $\eta$ -invariants on manifolds with boundary. Internat. J. Math. 35 (2024), no. 4, Paper No. 2450006, 44 pp. (Reviewer: Nils Waterstraat) 58J30 (58J28 58J32)

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Publication Year 2024 Indexed 2024-05-31 Review Published2024-10-24

MR4719613 Reviewed Wang, Hang; Zhang, Chaohua; Zhou, Dapeng Localization $C^*$ $C^*$ -algebras and index pairing. J. Homotopy Relat. Struct. 18 (2023), no. 1, 1–22. (Reviewer: Yuri A. Kordyukov) 19K35 (19K56 46L80 58B34)

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Publication Year 2023 Indexed 2024-04-18 Review Published2025-03-31

MR4583695 Reviewed Carrillo Rouse, P.; Wang, B. L.; Wang, H. Topological $K$ $K$ -theory for discrete groups and index theory. Bull. Sci. Math. 185 (2023), Paper No. 103262, 70 pp. (Reviewer: Yuri A. Kordyukov) 19K56 (46L80 58J20)

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Publication Year 2023 Indexed 2023-06-22 Review Published2023-11-29

MR4577198 Reviewed Hochs, Peter; Wang, Hang Spectral asymmetry and index theory on manifolds with generalised hyperbolic cusps. SIGMA Symmetry Integrability Geom. Methods Appl. 19 (2023), Paper No. 023, 32 pp. (Reviewer: Đỗ Ngọc Diệp) 58J20 (58D19)

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Publication Year 2023 Indexed 2023-05-31 Review Published2023-09-05

MR4565636 Reviewed Hochs, Peter; Wang, Bai-Ling; Wang, Hang An equivariant Atiyah-Patodi-Singer index theorem for proper actions I: The index formula. Int. Math. Res. Not. IMRN 2023, no. 4, 3138–3193. (Reviewer: Pengshuai Shi) 58J20 (19K56 22E30)

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Publication Year 2023 Indexed 2023-06-02 Review Published2023-10-17

MR4557082 Reviewed Chen, Xiaoman; Liu, Hongzhi; Wang, Hang; Yu, Guoliang Higher rho invariant and delocalized eta invariant at infinity. Asian J. Math. 26 (2022), no. 2, 257–288. (Reviewer: Rudolf Zeidler) 58B34 (19K56 46L80 58J20)

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Publication Year 2022 Indexed 2023-04-26 Review Published2024-02-20

MR4481080 Reviewed Azzali, Sara; Browne, Sarah L.; Gomez Aparicio, Maria Paula; Ruth, Lauren C.; Wang, Hang $K$ $K$ -homology and $K$ $K$ -theory of pure braid groups. New York J. Math. 28 (2022), 1256–1294. (Reviewer: Yuri A. Kordyukov) 58B34 (19D55 20F36 46L80)

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Publication Year 2022 Indexed 2022-11-01 Review Published2023-02-22

MR4480221 Reviewed Lim, Johnny; Wang, Hang Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary. Math. Z. 302 (2022), no. 2, 1035–1060. 47B35 (19K56 58J20 58J30)

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Publication Year 2022 Indexed 2022-11-08 Review Published2023-08-29

MR4418323 Reviewed Hochs, Peter; Wang, Bai-Ling; Wang, Hang An equivariant Atiyah-Patodi-Singer index theorem for proper actions II: the $K$ $K$ -theoretic index. Math. Z. 301 (2022), no. 2, 1333–1367. (Reviewer: Đỗ Ngọc Diệp) 58J20 (19K56 46L80)

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Publication Year 2022 Indexed 2022-06-16 Review Published2022-09-26

MR4324957 Reviewed Kato, Tsuyoshi; Sasahira, Hirofumi; Wang, Hang Twisted Donaldson invariants. Math. Proc. Cambridge Philos. Soc. 171 (2021), no. 3, 515–568. (Reviewer: Igor V. Nikolaev) 19D55 (58B34 81T13)

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Publication Year 2021 Indexed 2021-12-15 Review Published2023-02-08

MR4200263 Reviewed Mesland, Bram; Şengün, Mehmet Haluk; Wang, Hang A $K$ $K$ -theoretic Selberg trace formula. Operator theory, operator algebras and their interactions with geometry and topology—Ronald G. Douglas memorial volume, 403–424, Oper. Theory Adv. Appl., 278, Birkhäuser/Springer, Cham, [2020], ©2020. (Reviewer: Anton Yu. Savin) 58J22 (19K56 46L80)

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Publication Year 2020 Indexed 2021-12-22 Review Published2022-08-29

MR4099480 Reviewed Hochs, Peter; Wang, Hang An equivariant orbifold index for proper actions. J. Geom. Phys. 154 (2020), 103710, 11 pp. (Reviewer: Đỗ Ngọc Diệp) 19K56 (22E40 22F05 58J20)

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Publication Year 2020 Indexed 2020-07-08 Review Published2020-12-21

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