Fwd: [math-users] NCG Seminar - Joachim Zacharias

[L. Dabrowski]

"NON-COMMUTATIVE GEOMETRY" SEMINAR

Wednesday 13 September 2017 at 11:00
Venue: SISSA, room 136

Joachim Zacharias (University of Glasgow)
"Constructing Spectral Triples on C*-Algebras"

Abstract:
Spectral triples are analogues 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.