23 citations · 82 across the 23 of their papers we have counts for
5 papers · 1 filter
Higher rank graphs, k-subshifts and k-automata
R. Exel, B. Steinberg
Given a -graph we construct a Markov space , and a collection of pairwise commuting cellular automata on , providing for a factorization of Markov's shift. Ite…
Quasi-invariant measures for generalized approximately proper equivalence relations
R. Bissacot, R. Exel, R. Frausino +1
We introduce a generalization of the notion of approximately proper equivalence relations studied by Renault and with it we build an étale groupoid. Choosing a suitable set of cont…
-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…
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…
Representations of the inverse hull of a 0-left cancellative semigroup
R. Exel, B. Steinberg
A semigroup S containing a zero element is said to be 0-left cancellative if st = sr \neq 0 implies that t = r. Given such an S we build an inverse semigroup H(S), called the inver…