56 citations · 364 across the 42 of their papers we have counts for
5 papers · 1 filter
Tensor Products of Operator Systems
Ali S. Kavruk, Vern I. Paulsen, Ivan G. Todorov +1
The purpose of the present paper is to lay the foundations for a systematic study of tensor products of operator systems. After giving an axiomatic definition of tensor products in…
Frame theory for binary vector spaces
Bernhard G. Bodmann, My Le, Letty Reza +2
We develop the theory of frames and Parseval frames for finite-dimensional vector spaces over the binary numbers. This includes characterizations which are similar to frames and Pa…
Leavitt path algebras with coefficients in a commutative ring
Mark Tomforde
Given a directed graph E we describe a method for constructing a Leavitt path algebra whose coefficients are in a commutative unital ring R. We prove versions of the Grade…
Operator system structures on ordered spaces
Vern Paulsen, Ivan Todorov, Mark Tomforde
Given an Archimedean order unit space (V,V^+,e), we construct a minimal operator system OMIN(V) and a maximal operator system OMAX(V), which are the analogues of the minimal and ma…
On the classification of nonsimple graph C*-algebras
Soren Eilers, Mark Tomforde
We prove that a graph C*-algebra with exactly one proper nontrivial ideal is classified up to stable isomorphism by its associated six-term exact sequence in K-theory. We prove tha…