Deformation of operator algebras by Borel cocycles
Jyotishman Bhowmick (University of Oslo)
Tuesday 28th May, 2013 16:00-17:00 Maths 204
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.