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math.OA2025

Structural and non-isomorphism results for -Araki-Woods factors

Changying Ding, Hui Tan

It is proved that the -Araki-Woods factor $Γ_q(\sH_\R, U)''$ associated with a strongly continuous orthogonal representation $U:\R\to \cO(\sH_\R)$ is strongly solid for all $q\…

math.OA2025

Relative solidity for biexact groups in measure equivalence

Changying Ding, Daniel Drimbe

We demonstrate a relative solidity property for the product of a nonamenable biexact group with an arbitrary infinite group in the measure equivalence setting. Among other applicat…

math.OA2024

A unique Cartan subalgebra result for Bernoulli actions of weakly amenable groups

Changying Ding

We show that if is a Bernoulli action of an i.c.c. nonamenable group which is weakly amenable with Cowling-Haagerup constant , and $Λ\cur…