Kazhdan's Property T and C*-algebras

Details Kazhdan's Property T and C*-algebras Kazhdan's Property T and C*-algebras

2006-02-14

arxiv.org/abs/math/0602312v2

Mathematics

Operator Algebras

There was a mistake in the first draft, hence some preliminary results were removed. The proof of the main result, however, is

Scientific paper

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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