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Actions of Compact Groups on Algebras, theC*-Index Theorem, and Families

โœ Scribed by E. V. Troitsky


Book ID
110300076
Publisher
Springer US
Year
2001
Tongue
English
Weight
377 KB
Volume
105
Category
Article
ISSN
1573-8795

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Quasi-Product Actions of a Compact Group
โœ O. Bratteli; G.A. Elliott; A. Kishimoto ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 946 KB

Let \(\alpha\) be an action of a compact group on a separable prime \(C^{*}\)-algebra \(A\). Several conditions on \(\alpha\) are shown to be equivalent, among which are the following two: there exists a faithful irreducible representation of \(A\) which is also irreducible on \(A^{x}\); there exi