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ISSN 1088-6826(e) ISSN 0002-9939(p)

Finite dimensional representations of the soft torus

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
MathSciNet review: 1866027
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Abstract | References | Similar articles | Additional information

Abstract:

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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Additional Information:

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

Ruy Exel
Affiliation: Departamento de Matemática, Universidade Federal de Santa Catarina, 88040-900 Florianópolis SC, Brazil
Email: exel@mtm.ufsc.br

DOI: 10.1090/S0002-9939-01-06150-0
PII: S 0002-9939(01)06150-0
Received by editor(s): November 19, 1998
Received by editor(s) in revised form: August 28, 2000
Posted: June 21, 2001
Additional Notes: This work was partially supported by the Carlsberg Foundation
Communicated by: David R. Larson
Copyright of article: Copyright 2001, American Mathematical Society

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