The K-theory for l^p uniform Roe algebras

Jianguo Zhang

*(Shaanxi Normal University)*

15:25-16:25,August 4,2023 ÎÄ¸½Â¥ (Wenfu Building) 219

__Abstract:__

Given a discrete metric space X with bounded geometry, we can associate it with a C*-subalgebra of B(l^2 (X)), called the uniform Roe algebra of X which plays an important role in higher index theory. For any 1¡Üp<¡Ø, we can similarly consider the l^p uniform Roe algebra of X as a Banach subalgebra of B(l^p (X)). A natural question is if the K-theory of l^p uniform Roe algebras depends on p? In this talk, we will study this question for metric spaces which admit a coarse embedding into Hilbert space. This is a joint work with Dapeng Zhou.

__About the speaker:__

__Attachments:__