Welcome to Research Center for Operator Algebras

Research Center for Operator Algebras (RCOA) of East China Normal University (ECNU) was founded by Huaxin Lin in 2010. It focuses on researches related to operator algebra and functional analysis. Currently, it is located on the 5th floor of the Science Building of ECNU (ZhongShan North Road campus), Shanghai, China.

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Kleines Seminar

 
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.

Global Events in Operator Algebras

 

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- .

 

EventsMore...

 

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)