Property (T) and strong property (T) for unital C*-algebras
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AbstractIn this paper we will give a thorough study of the notion of property (T) for C*-algebras (as introduced by M.B. Bekka) as well as a slightly stronger version of it, called "strong property (T)" (which is also an analogue of the corresponding concept in the case of discrete groups and type II(1)-factors). More precisely, we will give some interesting equivalent formulations as well as some permanence properties for both property (T) and strong property (T). We will also relate them to certain (T)-type properties of the unitary group of the underlying C*-algebra. (C) 2009 Elsevier Inc. All rights reserved.
All Author(s) ListLeung CW, Ng CK
Journal nameJournal of Functional Analysis
Year2009
Month5
Day1
Volume Number256
Issue Number9
PublisherElsevier
Pages3055 - 3070
ISSN0022-1236
eISSN1096-0783
LanguagesEnglish-United Kingdom
KeywordsHilbert bimodules; Property (T); Unital C*-algebras
Web of Science Subject CategoriesMathematics; MATHEMATICS

Last updated on 2021-23-01 at 01:04