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Random $C^*$-subalgebras
Given a discrete countable group $Γ$, we introduce the concept of random subalgebras of the reduced group $C^*$-algebra $C_r^*(Γ)$. This extends the existing theory of invariant random subgroups and the one of invariant random subalgebras of the group von Neumann algebra ${\rm L}(Γ)$. As application
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