Kazhdan's property T and C*-algebras

Nathanial P. Brown

doi:10.1016/j.jfa.2006.05.003

Kazhdan's property T and C^*-algebras

Nathanial P. Brown

Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

Kazhdan's property T has recently been imported to the C^*-world by Bekka. Our objective is to extend a well-known fact to this realm; we show that a nuclear C^*-algebra with property T is finite-dimensional (for all intents and purposes). Though the result is not surprising, the proof is a bit more complicated than the group case.

Original language	English (US)
Pages (from-to)	290-296
Number of pages	7
Journal	Journal of Functional Analysis
Volume	240
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2006.05.003
State	Published - Nov 1 2006

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/j.jfa.2006.05.003

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title = "Kazhdan's property T and C*-algebras",

abstract = "Kazhdan's property T has recently been imported to the C*-world by Bekka. Our objective is to extend a well-known fact to this realm; we show that a nuclear C*-algebra with property T is finite-dimensional (for all intents and purposes). Though the result is not surprising, the proof is a bit more complicated than the group case.",

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AB - Kazhdan's property T has recently been imported to the C*-world by Bekka. Our objective is to extend a well-known fact to this realm; we show that a nuclear C*-algebra with property T is finite-dimensional (for all intents and purposes). Though the result is not surprising, the proof is a bit more complicated than the group case.

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Kazhdan's property T and C^*-algebras

Abstract

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