Spectral triples are analogoues of Dirac operators on general C*-algebras and play a fundamental role in noncommutative geometry. There are different regularity properties of spectral triples such as summability and conditions which allow to define a metric on the state space of the algebra. We will discuss the construction of Dirac operators with various regularity properties on crossed products and extensions in the spirit of permanence properties i.e. starting from triples on the coefficient algebra respectively the ideal and the quotient we construct a spectral triple on the crossed product respectively the extension, trying to preserve regularity. This talk is based on joint work with Andrew Hawkins, and on earlier joint work with Andrew Hawkins, Stuart White and Adam Skalski.

## Constructing Spectral Triples on C*-Algebras

Research Group:

Joachim Zacharias

Institution:

University of Glasgow

Location:

A-136

Schedule:

Wednesday, September 13, 2017 - 11:00

Abstract: