Spectral triples and equicontinuous actions on C*-algebras

Andrew Hawkins (U Nottingham)

Wednesday 25th April, 2012 16:00-17:00 204

Abstract

A non-commutative prototype for a compact metric space is given by a unital C^*-algebra A, equipped with a spectral triple (B,H,D) which determines a 'Lip-norm' in the sense of Rieffel. For each automorphism \alpha of A, it has been independently shown that the ability to extend a given spectral triple on A to a spectral triple on A [crossed product] \Z is directly related to the metric geometry of the corresponding homeomorphism of the state space. We go on to consider the generalised Toeplitz algebras arising in the associated Pimsner-Voiculescu exact sequence.