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.