5 papers
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…
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…
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…
Full factors and co-amenable inclusions
Jon Bannon, Amine Marrakchi, Narutaka Ozawa
We show that if is a full factor and is a co-amenable subfactor with expectation, then is also full. This answers a question of Popa from 1986. We also genera…
A Folner Invariant for Type II_1 Factors
Jon P. Bannon, Mohan Ravichandran
In this article we introduce an isomorphism invariant for type II_1 factors using the Connes-Folner condition. We compute bounds of this number for free group factors.