Finite dimensional representations of the soft torus
Soren Eilers, Ruy Exel
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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