5 papers · 1 filter
Factorial relative commutants and the generalized Jung property for II factors
Scott Atkinson, Isaac Goldbring, Srivatsav Kunnawalkam Elayavalli
We introduce the notion of a generalized Jung factor: a II factor for which any two embeddings of into its ultrapower are equivalent by an automorphism…
On ultraproduct embeddings and amenability for tracial von Neumann algebras
Scott Atkinson, Srivatsav Kunnawalkam Elayavalli
We define the notion of self-tracial stability for tracial von Neumann algebras and show that a tracial von Neumann algebra satisfying the Connes Embedding Problem is self-traciall…
Some results on tracial stability and graph products
Scott Atkinson
We establish the tracial stability of a certain class of graph products of C*-algebras. This result involves the development of the "pincushion class" of finite graphs. We then app…
On graph products of multipliers and the Haagerup property for -dynamical systems
Scott Atkinson
We consider the notion of the graph product of actions of groups on a -algebra and show that under suitable commutativity conditions the gra…
Graph products of completely positive maps
Scott Atkinson
We define the graph product of unital completely positive maps on a universal graph product of unital C*-algebras and show that it is unital completely positive itself. To accompli…