8 citations · 29 across the 17 of their papers we have counts for
11 papers · 1 filter
On C*-nuclearity of graph operator systems
Adam Dor-On, Travis Russell
We classify the set of finite simple undirected graphs whose corresponding graph operator system is C*-nuclear. We prove that the operator system associated to the graph is C*-nucl…
-extreme maps and -homomorphisms from to finite von Neumann algebras
Dimitrios Giannakis, Michael Montgomery, Travis Russell
Given a unital inclusion of -algebras and a unital inclusion into a von Neumann algebra , we invest…
Approximate factorization properties for operator systems
Roy Araiza, Larissa Kroell, Travis Russell +1
We show that many of the standard nuclearity properties considered in the literature for the hierarchy of operator system tensor products can be expressed as approximate factorizat…
Products and factorization in operator systems
Adam Dor-On, Travis B. Russell
We study unital operator spaces endowed with a partially defined product. We give a matrix-norm characterization of such products that allows for a representation theorem where the…
Real operator systems
David P. Blecher, Travis B. Russell
Operator systems are the unital self-adjoint subspaces of the bounded operators on a Hilbert space. Complex operator systems are an important category containing the C*-algebras an…
Operator Systems Generated by Projections
Roy Araiza, Travis Russell
We construct a family of operator systems and -AOU spaces generated by a finite number of projections satisfying a set of linear relations. This family is universal in the sense…
Matricial Archimedean order unit spaces and quantum correlations
Roy Araiza, Travis Russell, Mark Tomforde
We introduce a matricial analogue of an Archimedean order unit space, which we call a -AOU space. We develop the category of -AOU spaces and -positive maps and exhibit fun…
An abstract characterization for projections in operator systems
Roy Araiza, Travis Russell
We show that the set of projections in an operator system can be detected using only the abstract data of the operator system. Specifically, we show that if is a positive contr…
Two-outcome synchronous correlation sets and Connes' embedding problem
Travis B. Russell
We show that Connes' embedding problem is equivalent to the weak Tsirelson problem in the setting of two-outcome synchronous correlation sets. We further show that the extreme poin…
Characterizations of ordered operator spaces
Travis B. Russell
We demonstrate new abstract characterizations for unital and non-unital operator spaces. We characterize unital operator spaces in terms of the cone of accretive operators (operato…
Characterizations of Ordered Self-adjoint Operator Spaces
Travis B. Russell
We describe how self-adjoint ordered operator spaces, also called non-unital operator systems in the literature, can be understood as -vector spaces equipped with a matrix gauge…