Oberseminar Global Analysis and Operator Algebras

A C*-module framework for discrete quantum systemsOberseminar Global Analysis and Operator Algebras

by Chris Bourne (Nagoya University)

Europe/Berlin
Seminar room 1.008 (Mathezentrum)

Seminar room 1.008

Mathezentrum

Description

Loosely speaking, an interface describes a spatial mixing of several systems described by a C*-algebra of observables such that these mixed dynamics are not felt ‘at infinity’. Building from work by Măntoiu, we give a mathematical description of (discrete) interfaces using C*-modules and (discrete) crossed products. Several examples will be given as well as spectral and index-theoretic properties.