Abstract
The aim of the present (mostly expository) paper is to show the relationship of a generalization of Kazhdan’s property (T) for C*-algebras introduced in our recent paper to that of B. Bekka. It is shown that our definition coincides with Bekka’s definition for group C*-algebras of locally compact groups, whereas, in general, these definitions are distinct. Criteria for a C*-algebra to possess our property (T) are given. A number of examples of C*-algebras with and without property (T) are considered. Relations to K-theory are studied.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 8, pp. 171–192, 2007.
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Pavlov, A., Troitsky, E. Property (T) for topological groups and C*-algebras. J Math Sci 159, 863–878 (2009). https://doi.org/10.1007/s10958-009-9477-0
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DOI: https://doi.org/10.1007/s10958-009-9477-0