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{\Large Department of Mathematics, BGU}

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{\Huge Operator Algebras and Operator Theory}\\[0.2\baselineskip]

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\textbf{On} \emph{Monday, February  5, 2024}
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\textbf{At} \emph{14:00 -- 15:00}
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\textbf{In} \emph{201}

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{\large\scshape Tattwamasi Amrutam 
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  (BGU)
}
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will talk about
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{\Large\bfseries On amenable subalgebras of the group von Neumann algebra\par}
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\textsc{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.








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