3 citations · 5 across the 5 of their papers we have counts for
7 papers
Labelled graphs as Morita equivalence invariants for a class of inverse semigroups
Zachary Duah, Stian Du Preez, David Milan +2
We investigate the use of labelled graphs as a Morita equivalence invariant for inverse semigroups. We construct a labelled graph from a combinatorial inverse semigroup with $0…
A note on Morita equivalence to graph inverse semigroups
Martha Du Preez, Robert Grimley, Evan Lira +2
We characterize the inverse semigroups that are Morita equivalent to graph inverse semigroups. We also consider a generalization to inverse semigroups associated with left cancella…
On the inverse hull of a Markov shift
Aria Beaupré, Anthony Dickson, David Milan +1
In this paper we provide an abstract characterization of the inverse hulls of semigroups associated with Markov shifts. As an application of the characterization we give an example…
On zigzag maps and the path category of an inverse semigroup
Allan Donsig, Jennifer Gensler, Hannah King +2
We study the path category of an inverse semigroup admitting unique maximal idempotents and give an abstract characterization of the inverse semigroups arising from zigzag maps on…
Condition (K) for inverse semigroups and the ideal structure of their -algebras
Scott M. LaLonde, David Milan, Jamie Scott
Inspired by results for graph -algebras, we investigate connections between the ideal structure of an inverse semigroup and that of its tight -algebra by relating ide…
Amenability and Uniqueness for Groupoids Associated with Inverse Semigroups
Scott M. LaLonde, David Milan
We investigate recent uniqueness theorems for reduced -algebras of Hausdorff étale groupoids in the context of inverse semigroups. In many cases the distinguished subalgebra i…
On inverse semigroup -algebras and crossed products
David Milan, Benjamin Steinberg
We describe the -algebra of an -unitary or strongly 0--unitary inverse semigroup as the partial crossed product of a commutative -algebra by the maximal group image…