activity
20052026
most citedFull factors and co-amenable inclusions

10 citations · 10 across the 10 of their papers we have counts for

collaborators

12 papers

math.OA2026

Weak Factorization and Product Systems Over Groupoids

Jon Bannon, Alina Vdovina

We give a product-system description of generalized higher-rank graphs with the weak factorization property. For such a graph with degree-zero groupoid G, we prove that weak factor…

math.CV2026

The prime spectrum of rings of integer-coefficient power series on the disk

Jon Bannon, David Feldman

This is a sequel to \cite{PaperI}, where it is shown that a discrete effective divisor on the open unit disk $\D$ is the zero divisor of a holomorphic function with integer Taylor…

math.CV2026

Rigidity of symmetric holomorphic functions on infinite-dimensional sequence spaces

David Feldman, Jon Bannon

We study holomorphic functions on permutation-invariant subsets of an infinite-dimensional sequence space that are invariant under all finite permutations of coordinates. Working o…

math.RA2026

Non-isomorphism of rings of integer-coefficient holomorphic functions on disks of varying radius

Jon Bannon, David Feldman

For , let denote the ring of power series with integer Taylor coefficients converging on the open disk . We prove that t…

math.CV2026

Integer Coefficient Power Series with Prescribed Zero Sets

Jon Bannon, David Feldman

We prove that a discrete effective divisor on the open unit disk is the zero divisor of a holomorphic function on with integer Taylor coefficients if and…

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.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…

math.OA2019★ 10 cited

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…

math.OA2007

Haagerup's Approximation Property and Relative Amenability

Jon P. Bannon, Junsheng Fang

A finite von Neumann algebra with a faithful normal trace has Haagerup's approximation property (relative to a von Neumann subalgebra ) if there ex…

math.OA2005

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.