$K$-theory for the $C^*$-algebra of a homeomorphism and a vector bundle

Abstract: We outline how to construct a C*-algebra from a homeomorphism on a compact Hausdorff space $X$, together with a vector bundle over $X$. This generalizes crossed products of the form $C(X)\rtimes_\alpha\mathbb{Z}$. Under reasonable assumptions these $C^*$-algebras turn out to be classifiable in the sense of the Elliott program. We sketch K-theory calculations which are work in progress with Karen Strung and Sven Raum.

mathematical physicsalgebraic topologydifferential geometryrepresentation theorystatistics theory

Audience: researchers in the topic

( video )

Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics

Series comments: Virtual coffee starts on Zoom already 15 minutes before the seminar.