Seminar series
Date
Thu, 14 Oct 2010
Time
12:00 -
13:00
Location
SR1
Speaker
Michael Groechenig
Organisation
Oxford University Mathematical Institute
The theory of C*-algebras provides a good realisation of noncommutative topology. There is a dictionary relating commutative C*-algebras with locally compact spaces, which can be used to import topological concepts into the C*-world. This philosophy fails in the case of homotopy, where a more sophisticated definition has to be given, leading to the notion of asymptotic morphisms.
As a by-product one obtains a generalisation of Borsuk's shape theory and a universal boundary map for cohomology theories of C*-algebras.