On the rational K-theory of ample groupoids

Valerio Proietti

*(University of Oslo)*

10:15-11:15£¬April 15£¬2024 WenfuBuilding 301

__Abstract:__

I will report on a joint work in progress with M. Yamashita (Oslo). I will explain a strategy to compute the rational K-theory of an ample groupoid C*-algebra in terms of the homology groups (with rational coefficients) of the groupoid. The goal is proving a rational version of the HK conjecture (which is known to fail integrally). We will use machinery from homotopy theory and KK-theory.

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