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Kazhdan's Property T and C*-algebras

Nathanial P. Brown
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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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Nathanial P. Brown. 2006-04-24. Kazhdan's Property T and C*-algebras. https://arxiv.org/abs/math/0602312

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