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20082023
most citedOn the factoriality of q-deformed Araki-Woods von Neumann algebras

13 citations · 22 across the 13 of their papers we have counts for

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math.OA2023

Quasinormalizers in crossed products of von Neumann algebras

Jon Bannon, Jan Cameron, Ionut Chifan +3

We study the relationship between the dynamics of the action of a discrete group on a von Neumann algebra , and structural properties of the associated crossed product i…

math.OA2022★ 13 cited

On the factoriality of q-deformed Araki-Woods von Neumann algebras

Panchugopal Bikram, Kunal Mukherjee, Éric Ricard +1

The -deformed Araki-Woods von Neumann algebras are factors for all whenever .…

math.OA2020

On the commutants of generators of q-deformed Araki-Woods von Neumann algebras

Panchugopal Bikram, Kunal Mukherjee

The generating abelian subalgebras arsing from vectors in the ergodic component of Hiai's construction of the q-deformed Araki-Woods von Neumann algebras are quasi-split.

math.OA2019

The Modular Symmetry of Markov Maps

Jon Bannon, Jan Cameron, Kunal Mukherjee

A state-preserving automorphism of a von Neumann algebra induces a canonical unitary operator on the GNS Hilbert space of the state which fixes the vacuum. This unitary commutes wi…

math.OA2019

Noncommutative Joinings II

Jon Bannon, Jan Cameron, Kunal Mukherjee

This paper is a continuation of the authors' previous work on noncommutative joinings, and contains a study of relative independence of W-dynamical systems. We prove that, give…

math.OA2019

On Noncommutative Joinings

Jon Bannon, Jan Cameron, Kunal Mukherjee

This paper extends the classical theory of joinings of measurable dynamical systems to the noncommutative setting from several interconnected points of view. Among these is a parti…