arXiv subjects

Benton Duncan

Publications and source records attributed to Benton Duncan.

2 recordsLinked to original sources

arXiv2016

When universal edge-colored directed graph $C^*$-algebras are exact

We consider when the universal $C^*$-algebras associated to edge-colored directed graphs are exact. Specifically, for countable edge-colored directed graphs we show that the universal $C^*$-algebra is exact if and only if the $C^*$-algebra is isomorphic to a graph $C^*$-algebra which occurs precisely when the universal and reduced $C^*$-algebras of the edge-colored directed graph are isomorphic.

math.OA↗

arXiv2013

Graph theoretic invariants for operator algebras associated to topological dynamics

We expand on some invariants used for classifying nonselfadjoint operator algebras. Specifically to nonselfadjoint operator algebras which have a conditional expectation onto a commutative diagonal we construct an edge-colored directed graph which can be used as an operator algebra invariant.

math.OA↗