Deformation of operator algebras by Borel cocycles

Jyotishman Bhowmick (University of Oslo)

Tuesday 28th May, 2013 16:00-17:00 Maths 204

Abstract

Let us assume that  a locally compact group $ G $ has a reduced coaction on a $ C^* $ algebra $ A, $ that is, a coassociative $*$-homomorphism from $ A $ to $ A \otimes C^*_r ( G ). $ Moreover, we fix a cocycle on $ G.$ Motivated by the approach of Kasprzak to Rieffel’s deformation, we discuss a method to deform $ A $ into another $ C^* $ algebra, thus generalizing  the works of Kasprzak, Yamashita and Rieffel. This is a joint work with S. Neshveyev and A.S. Sangha.

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