KU-SDU operator algebra seminar (online)

Speaker: Mike Whittaker (Glasgow)

Title: K-theoretic duality of self-similar actions

Abstract: A self-similar group (G,X) consists of a group G acting faithfully on a homogeneous rooted tree such that the action satisfies a self-similarity condition. In this talk I will outline Nekrashevych's proof that that the Cuntz-Pimsner algebra of a self-similar group action is Spanier-Whitehead dual to the groupoid C*-algebra of an associated Smale space. Nekrashevych's result ties together ideas from operator algebras, dynamical systems and geometric group theory in a truly beautiful way. In joint work with Nathan Brownlowe, Alcides Buss, Daniel Gonçalves and Aidan Sims we are generalising these ideas, but this talk will only present a new proof of Nekrashevych's result.

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

Zoom ID: 674 2729 5726

Password: OANCG