Operator algebra seminar

Speaker: Ulrich Pennig, University of Münster

Title: A noncommutative model for higher twisted K-theory and K-homology

Abstract: Twisted K-Theory is most elegantly expressed in terms of non-commutative geometry as K-Theory of section algebras of locally trivial bundles of compact operators. However, from the point of view of algebraic topology, this setup just captures a small portion of the possible twists. In my talk I would like to report on joint work with Marius Dadarlat, in which we generalize the classical theory to a C*-algebraic model, which captures all possible twists of K-Theory as predicted by stable homotopy theory. It is based on strongly self-absorbing C*-algebras, which play a fundamental role in Elliott's classification program.