KU/SDU operator algebra seminar

Speaker: Makoto Yamashita

Title: Homology and K-theory of torsion free ample groupoids

Abstract: The problem of connecting the integral homology to the K-groups of C*-algebra for ample groupoids was recently popularized by Matui. As an answer for this, we construct a spectral sequence starting from the groupoid homology which ends at the K-groups when the groupoid satisfies the Baum-Connes conjecture and has torsion free stabilizers. The construction crucially relies on the Meyer-Nest theory of triangulated structure on equivariant KK-categories. The same technique allows us to incorporate Putnam’s homology theory for Smale spaces in place of groupoid homology, and an analogous construction involving the Bowen-Franks groups for the Ruelle algebra.

Zoom: 

Zoom link: https://syddanskuni.zoom.us/j/67427295726?pwd=TlQ4NEY2a0RMcEpld2hDaUt3YmhLdz09

Zoom ID: 674 2729 5726

Password: OANCG