Transactions of the American Mathematical Society

Author(s): Robert J. Archbold; Eberhard Kaniuth
Journal: Trans. Amer. Math. Soc. 357 (2005), 2165-2186.
MSC (2000): Primary 46L05, 46L35, 22D25
Posted: January 21, 2005
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Abstract: We investigate the real and stable rank of the $C^\ast$ -algebras of locally compact groups with relatively compact conjugacy classes or finite-dimensional irreducible representations. Estimates and formulae are given in terms of the group-theoretic rank.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 46L05, 46L35, 22D25

Robert J. Archbold
Affiliation: Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, Scotland, United Kingdom
Email: r.archbold@maths.abdn.ac.uk

Eberhard Kaniuth
Affiliation: Institut für Mathematik, Universität Paderborn, D-33095 Paderborn, Germany
Email: kaniuth@math.uni-paderborn.de

DOI: 10.1090/S0002-9947-05-03835-3
PII: S 0002-9947(05)03835-3
Received by editor(s): February 20, 2003
Posted: January 21, 2005
Additional Notes: This work was supported by a travel grant from the German Research Foundation
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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