Changying Ding

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20212023

most citedBiexact von Neumann algebras

1 citations · 2 across the 5 of their papers we have counts for

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Showing 2022 · math.OAShow all

3 papers · 2 filters

math.OA2022

First $ℓ^{2}$ -Betti numbers and proper proximality

Changying Ding

We show that for a countable exact group, having positive first $ℓ^{2}$ -Betti number implies proper proximality in this sense of \cite{BoIoPe21}. This is achieved by showing a coc…

math.OA2022

On the structure of relatively biexact group von Neumann algebras

Changying Ding, Srivatsav Kunnawalkam Elayavalli

Using computations in the bidual of $B (L^{2} M)$ we develop a new technique at the von Neumann algebra level to upgrade relative proper proximality to full proper proximality…

math.OA2022

Properly Proximal von Neumann Algebras

Changying Ding, Srivatsav Kunnawalkam Elayavalli, Jesse Peterson

We introduce the notion of proper proximality for finite von Neumann algebras, which naturally extends the notion of proper proximality for groups. Apart from the group von Neumann…

First ℓ2-Betti numbers and proper proximality

On the structure of relatively biexact group von Neumann algebras

Properly Proximal von Neumann Algebras

First $ℓ^{2}$ -Betti numbers and proper proximality