Welcome to Research Center for Operator Algebras
Title: Index theory of spectral truncations and localisation algebras Speaker: Yuezhao Li (Leiden University) Location: Science Building A503 Time: 14:00-15:00, September 9, 2024 Abstract: A spectral truncation is the compression of a spectral triple (A,H,D) onto a subspace by a spectral projection of D. Such a subspace can be finite-dimensional, thus we cannot expect a spectral truncation to remember the K-homology data of the spectral triple to begin with. Nevertheless, Terry Loring and Hermann Schulz-Baldes have constructed computational tools called spectral localisers, which are matrices constructed from a finite-dimensional spectral truncation of a spectral triple (A,H,D) and an invertible or a projection in A, that compute the index pairings between this spectral triple and the K-theory class represented by this invertible or projection. In this talk, I will review this construction, and provide a new perspective from Guoliang Yu's localisation algebras. This is an ongoing work with Bram Mesland.
International Conference on C*-algebras and Non-commutative Geometry In honor of Guihua Gong's 60th birthday, Dalian University of Technology, December 19-23, 2022.
Young Mathematicians in C*-Algebras, Oslo University, August 8-12, 2022.
ICM satellite conference: K-Theory, C*-Algebras and Topology of Manifolds, July 18-23, 2022.
ICM 2022, July 6-14, 2022.
Operator algebras, dynamics and groups, University of Copenhagen, July 1-4, 2022.
Conference celebrating the career of Ryszard Nest, University of Copenhagen, Copenhagen, June 13-16, 2022.
Canadian Operator Algebras Symposium, 50th anniversary, University of Ottawa, May 30-June 3, 2022.
Groups acting on Fractals, Hyperbolicity and Self-similarity, Institut Henri Poincar , April 11-July 8, 2022.
Global Noncommutative Geometry Seminar, Online, 2020- .
Videos of Autumn Operator Algebras Program 2021
Professor Wilhelm Winter's talk on the occasion of the 70th anniversary of ECNU
Videos of Special Week on Operator Algebras 2021
Videos of the 17th Special Week on Operator Algebras
Huaxin Lin's lecture series for operator algebras 2022
A revisit to Hilbert C*-module by Huaxin Lin
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Honorary Doctorate Degree Awarded to Prof. Uffe Haagerup of Copenhagen
Uffe Haagerup教授荣誉博士学位授予仪式暨庆祝酒会在我校举行
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Special Week on Operator Algebras 2024
Spring Operator Algebras Program, 2024
Special Week on Operator Algebras 2023
2023 Spring Operator Algebras Program
2022 FDU-ECNU Summer School of Operator Algebras and Noncommutative Geometry, August 22-30, 2022
The 17th Special Week on Operator Algebras, August 1-5, 2022
Autumn Operator Algebras Program 2021, November 15-24
University Outstanding Lecture Series (70ÖÜÄêУÇì׿ԽѧÊõ±¨¸æ) - Professor Wilhelm Winter
Summer School of Functional Analysis and Noncommutative Geometry 2021, Fudan University, August 2-13, 2021. (Organizer: Fudan University, Co-organizers: East China Normal University & Shanghai University of Finance and Economics.)
Special Week on Operator Algebras 2021, June 7-11
Special Week on Operator Algebras 2020
International Workshop on Operator Theory and Applications 2018
Autumn Operator Algebras Program 2019
Special Week on Operator Algebras 2019
Spring Operator Algebras Program 2019
Special Week on Operator Algebras 2018
Spring Operator Algebras Program 2018
Autumn Operator Algebras Program 2017
Special Week on Operator Algebras June 2017
Spring Operator Algebras Program 2017
Winter Operator Algebras Program 2016
Special Week on Operator Algebras June 2016
2016 NSFC Tianyuan Foundation for Functional Analysis
  -- Summer School on Operator Algebras and Noncommutative Geometry
Spring Operator Algebras Program, 2016
2016数学天元基金《泛函分析》专题讨论班第二期
-- 算子代数与非交换几何 研究生暑期学校 (July)