Kazhdan's property T and C*-algebras

Research output: Contribution to journalArticle

16 Citations (Scopus)

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

Fingerprint

C*-algebra

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

@article{0b2f43e540414d03b69bd397102afa6f,
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.",
author = "Nathanial Brown",
year = "2006",
month = "11",
day = "1",
doi = "10.1016/j.jfa.2006.05.003",
language = "English (US)",
volume = "240",
pages = "290--296",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "1",

}

Kazhdan's property T and C*-algebras. / Brown, Nathanial.

In: Journal of Functional Analysis, Vol. 240, No. 1, 01.11.2006, p. 290-296.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Kazhdan's property T and C*-algebras

AU - Brown, Nathanial

PY - 2006/11/1

Y1 - 2006/11/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=33748499125&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33748499125&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2006.05.003

DO - 10.1016/j.jfa.2006.05.003

M3 - Article

AN - SCOPUS:33748499125

VL - 240

SP - 290

EP - 296

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 1

ER -