Description of intermediate C*-algebras for noncommutative Crossed products
Speaker:
Apurva Seth, Ben-Gurion University of the Negev
Date and Time:
Thursday, November 2, 2023 - 2:00pm to 2:50pm
Location:
Fields Institute, Room 210
Abstract:
Let $B$ be a separable C*-algebra, let $\Gamma$ be a discrete countable group, let $\alpha \colon \Gamma \to \text{Aut}(B)$ be an action, and let $A$ be an invariant subalgebra. In this talk, we will see certain freeness conditions that guarantee that any intermediate C*-algebra $A$ $\rtimes_{\alpha,r}$ $\Gamma$ $\subseteq$ $C$ $\subseteq$ $B$ $\rtimes_{\alpha,r}$ $\Gamma$ is a crossed product of an intermediate invariant subalgebra $A$ $\subseteq$ $C_0$ $\subseteq$ $B$ by $\Gamma$.
This talk is based on joint work with Ilan Hirshberg and Tattwamasi Amrutam.