Simply connected nilpotent Lie groups with quasi-standard $C^*$-algebras
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- by Robert J. Archbold and Eberhard Kaniuth PDF
- Proc. Amer. Math. Soc. 125 (1997), 2733-2742 Request permission
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.References
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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
- 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
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2733-2742
- MSC (1991): Primary 22D25; Secondary 22E25, 22D10
- DOI: https://doi.org/10.1090/S0002-9939-97-03830-6
- MathSciNet review: 1389503