Deformation of algebras associated with group cocycles
Makoto Yamashita
University of Oslo, Norway
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Abstract
We study deformation of algebras with coaction symmetry of reduced algebras of discrete groups, where the deformation parameter is givenby a continuous family of group -cocycles. When the group satisfies the Baum–Connes conjecture with coefficients, we obtain an isomorphism of K-groups of the deformed algebras. This extends both the -deformation of Rieffel on -actions, and a recent result of Echterhoff, Lück, Phillips, and Walters on the K-groups on the twisted group algebras.
Cite this article
Makoto Yamashita, Deformation of algebras associated with group cocycles. J. Noncommut. Geom. 17 (2023), no. 4, pp. 1145–1166
DOI 10.4171/JNCG/522