Finite dimensional representations of the soft torus

• Authors: Søren Eilers and Ruy Exel
• Date: October 1998.
• Status: Appeared in Proceedings of the American Mathematical Society 130 (2002), 727-731.
• Pages: 6.
• 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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