Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/wiley/an-isomorphism-between-group-c-algebras-of-ax-b-like-groups-6MsZ85Fe30
References (8)
-
N. Gorbachev (1980)
THE C*-ALGEBRA OF THE HEISENBERG GROUPRussian Mathematical Surveys, 35
-
(1980)
C * -algebra of the Heisenberg group', Uspekhi Mat -
Ying-Fen Lin, J. Ludwig (2010)
The C*-algebra of ax+b-like groupsJournal of Functional Analysis, 259
-
E. Kaniuth, G. Schlichting, Keith Taylor (1995)
Minimal Primal and Glimm Ideal Spaces of Group C*-AlgebrasJournal of Functional Analysis, 130
-
H. Leptin, J. Ludwig (1994)
Unitary Representation Theory of Exponential Lie Groups -
R. Archbold, E. Kaniuth, J. Ludwig, G. Schlichting, D. Somerset (2001)
Strength of Convergence in Duals of C*-Algebras and Nilpotent Lie GroupsAdvances in Mathematics, 158
-
J. Ludwig, L. Turowska (2009)
The C*-algebras of the Heisenberg group and of thread-like Lie groupsMathematische Zeitschrift, 268
-
Xiaolu Wang (1989)
The C*- Algebras of a Class of Solvable Lie Groups
- Publisher
- Wiley
- Copyright
- © London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/blms/bds085
- Publisher site
- See Article on Publisher Site
Abstract
We give a necessary and sufficient condition for two ax+b‐like groups to have isomorphic C*‐algebras. In particular, we show that there are many non‐isomorphic ax+b ‐like Lie groups having isomorphic group C*‐algebras.
Journal
Bulletin of the London Mathematical Society – Wiley
Published: Apr 1, 2013