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Finite dimensional representations of the soft torus

1998/10/28 by Soren Eilers, Eilers, Soren, Ruy Exel +1
Mathematics · #46L05 (primary) #46L85 #47B20 (secondary) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L05 #msc:46L85 #msc:47B20

paper · pdf · doi:10.48550/arxiv.math/9810165

arxiv created 1998/10/28 · arxiv updated 2009/11/30

Abstract

The soft tori constitute a continuous deformation, in a very precise sense, from the commutative C*-algebra C(T2) to the highly non-commutative C*-algebra C*(F2). Since both of these C*-algebras are known to have a separating family of finite dimensional representations, it is natural to ask whether that is also the case for the soft tori. We show that this is in fact the case.

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