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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 243, Functional Analysis
Dr. Tattwamasi Amrutam
Ben Gurion University, Negev
On amenable subalgebras of the group von Neumann algebra
Abstract:
In a joint work with Yair Hartman and Hanna Oppelmayer, we study the sub-von Neumann Algebras of the group von Neumann algebra $L\Gamma$. We will first show that $L\Gamma$ admits a maximal invariant amenable subalgebra. We will also introduce the notion of invariant probability measures on the space of sub-von Neumann algebras (IRAs), which is analogous to the concept of Invariant Random Subgroups. We shall show that amenable IRAs are supported on the maximal amenable invariant subalgebra.
Host: Priyanga Ganesan
April 9, 2024
11:00 AM
Zoom (meeting ID: 94246284235)
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