AG Mathematische Physik, Chris Bourne (Nagoya): Interfaces of discrete quantum systems

Chris Bourne (Nagoya)

Interfaces of discrete quantum systems

Abstract: 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.