Kazhdan's Property T and C*-algebras
Nathanial P. Brown
Abstract
Kazhdan's notion of 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 significantly more complicated than the discrete group case.
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