Hostname: page-component-848d4c4894-xfwgj Total loading time: 0 Render date: 2024-07-01T02:03:58.027Z Has data issue: false hasContentIssue false
  • English
  • Français

On free transformation groups and C*-algebras

Published online by Cambridge University Press:  14 November 2011

Klaus Thomsen
Klaus Thomsen
Affiliation:
Matematisk Institut, Aarhus Universitet, Ny Munkegade, DK-8000 Aarhus C, Denmark
Get access Rights & Permissions [Opens in a new window]

Synopsis

We prove that a free discrete transformation group on a compact connected space X is completely determined by the way C(X) lies inside the corresponding crossed product C*-algebra.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 107 , Issue 3-4 , 1987 , pp. 339 - 347
Copyright
Copyright © Royal Society of Edinburgh 1987

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Archbold, R. J., Bunce, J. W. and Gregson, K. D.. Extension of states of C*-algebras, II. Proc. Roy. Soc. Edinburgh Sect. A 92 (1982), 113–122.CrossRefGoogle Scholar
2Batty, C. J. K.. Simplexes of extensions of states of C*-algebras. Trans. Amer. Math. Soc. 272 (1982), 237–246.Google Scholar
3Effros, E. and Hahn, F.. Locally compact transformation groups and C*-algebras. Mem. Amer. Math. Soc. 75 (1967).Google Scholar
4Enomoto, M. and Tamaki, K.. Freely acting automorphism of abelian C*-algebras. Nagoya Math. J. 56 (1974), 7–11.CrossRefGoogle Scholar
5Pedersen, G. K.. C*-algebras and their automorphism groups (London: Academic Press, 1979).Google Scholar
6Renault, J.. A Groupoid Approach to C*-algebras. Lecture Notes in Mathematics 793 (Berlin: Springer, 1980).Google Scholar
7Renault, J.. Two applications of the dual groupoid of a C*-algebra. Lecture Notes in Mathematics 1132 (Berlin: Springer, 1985).Google Scholar