activity
20112019
most citedThe tiling C*-algebra viewed as a tight inverse semigroup algebra

3 citations · 3 across the 1 of their papers we have counts for

collaborators

6 papers

math.GN2019

Locally Hausdorff Tight Groupoids Generalised

Tristan Bice, Charles Starling

We extend Exel's ample tight groupoid construction to non-ample groupoids, even in the general locally Hausdorff case.

math.GN2018

Hausdorff Tight Groupoids Generalised

Tristan Bice, Charles Starling

We extend Exel's ample tight groupoid construction to general locally compact étale groupoids in the Hausdorff case. Moreover, we show how inverse semigroups are represented in thi…

math.OA2018

-algebras of self-similar graphs over arbitrary graphs

Ruy Exel, Enrique Pardo, Charles Starling

In this note we extend the construction of a -algebra associated to a self-similar graph to the case of arbitrary countable graphs. We reduce the problem to the row-finite cas…

math.OA2018

Simplicity of algebras associated to non-Hausdorff groupoids

Lisa Orloff Clark, Ruy Exel, Enrique Pardo +2

We prove a uniqueness theorem and give a characterization of simplicity for Steinberg algebras associated to non-Hausdorff ample groupoids. We also prove a uniqueness theorem and g…

math.LO2018

General Non-Commutative Locally Compact Locally Hausdorff Stone Duality

Tristan Bice, Charles Starling

We extend the classical Stone duality between zero dimensional compact Hausdorff spaces and Boolean algebras. Specifically, we simultaneously remove the zero dimensionality restric…

math.OA20113 cited

The tiling C*-algebra viewed as a tight inverse semigroup algebra

Ruy Exel, Daniel Gonçalves, Charles Starling

We realize Kellendonk'?s C*-algebra of an aperiodic tiling as the tight C*-algebra of the inverse semigroup associated to the tiling, thus providing further evidence that the tight…