Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Deformation of operator algebras by Borel cocycles (1207.2560v2)

Published 11 Jul 2012 in math.OA and math.QA

Abstract: Assume that we are given a coaction \delta of a locally compact group G on a C*-algebra A and a T-valued Borel 2-cocycle \omega on G. Motivated by the approach of Kasprzak to Rieffel's deformation we define a deformation A_\omega of A. Among other properties of A_\omega we show that A_\omega\otimes K(L2(G)) is canonically isomorphic to A\rtimes_\delta\hat G\rtimes_{\hat\delta,\omega}G. This, together with a slight extension of a result of Echterhoff et al., implies that for groups satisfying the Baum-Connes conjecture the K-theory of A_\omega remains invariant under homotopies of omega.

Summary

We haven't generated a summary for this paper yet.