𝔖 Bobbio Scriptorium
✦   LIBER   ✦

K-Groups of C*-Algebras Deformed by Actions of Rd

✍ Scribed by M.A. Rieffel

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
628 KB
Volume
116
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

✦ Synopsis

We show that the topological (K)-groups of a (C^{})-algebra deformed by an action of (R^{d}) are isomorphic to those of the original (C^{})-algebra. We do this by exhibiting the deformed algebra as a suitable generalized fixed-point algebra. This also shows that the deformed algebra is nuclear if the original one is. 1993 Academic Press, Inc.

πŸ“œ 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 πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 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