11 citations · 23 across the 10 of their papers we have counts for
14 papers
Identification of maximal -covers of some operator algebras
Benton L. Duncan
We use results on inclusions of free products and extensions of completely positive maps to determine the maximal -envelope for upper triangular matrices. We cons…
Operator algebras associated to modules over an integral domain
Benton L. Duncan
We use the Fock semicrossed product to define an operator algebra associated to a module over an integral domain. We consider the -envelope of the semicrossed product, and the…
Graph theoretic invariants for operator algebras associated to topological dynamics
Benton Duncan
We expand on some invariants used for classifying nonselfadjoint operator algebras. Specifically to nonselfadjoint operator algebras which have a conditional expectation onto a com…
When universal edge-colored directed graph -algebras are exact
Benton Duncan
We consider when the universal -algebras associated to edge-colored directed graphs are exact. Specifically, for countable edge-colored directed graphs we show that the univer…
Operator algebras and representations from commuting semigroup actions
Benton L. Duncan, Justin R. Peters
Let $\sS$ be a countable, abelian semigroup of continuous surjections on a compact metric space . Corresponding to this dynamical system we associate two operator algebras, the…
Operator algebras associated to integral domains
Benton L. Duncan
We study operator algebras associated to integral domains. In particular, with respect to a set of natural identities we look at the possible nonselfadjoint operator algebras which…