An Isaac Newton Institute Workshop

Trends in Noncommutative Geometry

Quantum Lorentz Groups obtained by Rieffel Deformation.

20th December 2006

Author: Pawel Kasprzak (Wasrsaw University)

Abstract

The aim of this talk is to describe two examples of Quantum Lorentz Groups obtained by Rieffel Deformation. In particular, a description in terms of noncommutative coordinates on them will be given. If time permits, we will present a refinement of Rieffel Deformation, based on Landstad theory of crossed product. The benefits of this approach are: simple proofs of invariance of K-theory and preservation of nuclearity under the deformation.