Index Theory on Mapping Tori
Time: 2021-10-11
Published By: He Liu
Speaker(s): Valerio Proietti (East China Normal University)
Time: 14:00-15:00 October 12, 2021
Venue: Room 29, Quan Zhai, BICMR
We consider two different discrete group actions on a compact space. In algebraic topology, the associated homotopy quotient is a good model for the orbit space. In noncommutative geometry, the crossed product is another such model. Do isomorphic homotopy quotients lead to isomorphic crossed product algebras? We'll give a partial answer to this question, and explain a geometric interpretation of the so-called Elliott invariant along the way.
