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Compact group actions on C∗-algebras: An application of non-commutative duality

✍ Scribed by Elliot C Gootman; Aldo J Lazar

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
529 KB
Volume
91
Category
Article
ISSN
0022-1236

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📜 SIMILAR VOLUMES

Quasi-Product Actions of a Compact Group
Quasi-Product Actions of a Compact Group on a C*-Algebra
✍ O. Bratteli; G.A. Elliott; A. Kishimoto 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 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