Kazhdan's property T and C*-algebras

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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 languageEnglish (US)
Pages (from-to)290-296
Number of pages7
JournalJournal of Functional Analysis
Volume240
Issue number1
DOIs
StatePublished - Nov 1 2006

All Science Journal Classification (ASJC) codes

  • Analysis

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