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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Simply connected nilpotent Lie groups
with quasi-standard $C^*$-algebras


Authors: Robert J. Archbold and Eberhard Kaniuth
Journal: Proc. Amer. Math. Soc. 125 (1997), 2733-2742
MSC (1991): Primary 22D25; Secondary 22E25, 22D10
MathSciNet review: 1389503
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Abstract: The problem of when the group $C^*$-algebra of a locally compact group is quasi-standard is investigated for certain simply connected nilpotent Lie groups. The characterization is in terms of the coadjoint orbit structure in the dual of the Lie algebra.


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Additional Information

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

Eberhard Kaniuth
Affiliation: Fachbereich Mathematik/Informatik, Universität Paderborn, D-33095 Paderborn, Germany
Email: kaniuth@uni-paderborn.de

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03830-6
PII: S 0002-9939(97)03830-6
Received by editor(s): November 21, 1995
Received by editor(s) in revised form: March 12, 1996
Additional Notes: The authors were supported by a British-German ARC Grant.
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society