Proceedings of the American Mathematical Society

Author(s): Søren Eilers; Ruy Exel
Journal: Proc. Amer. Math. Soc. 130 (2002), 727-731.
MSC (2000): Primary 46L05; Secondary 46L65, 46L85, 47B20
Posted: June 21, 2001
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The soft tori constitute a continuous deformation, in a very precise sense, from the commutative

-algebra $C(\mathbb{T} ^2)$ to the highly non-commutative

-algebra $C^*(\mathbb{F} _2)$ . Since both of these

-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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Søren Eilers
Affiliation: Matematisk Afdeling, Københavns Universitet, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark
Email: eilers@math.ku.dk

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