10 citations · 16 across the 4 of their papers we have counts for
5 papers · 1 filter
One-sided shift spaces over infinite alphabets
William Ott, Mark Tomforde, Paulette Willis
We define a notion of (one-sided) shift spaces over infinite alphabets. Unlike many previous approaches to shift spaces over countable alphabets, our shift spaces are compact Hausd…
Group actions on labeled graphs and their C*-algebras
Teresa Bates, David Pask, Paulette Willis
We introduce the notion of the action of a group on a labeled graph and the quotient object, also a labeled graph. We define a skew product labeled graph and use it to prove a vers…
The crossed-product structure of C*-algebras arising from topological dynamical systems
Cynthia Farthing, Nura Patani, Paulette N. Willis
We show that every topological k-graph constructed from a locally compact Hausdorff space Ω and a family of pairwise commuting local homeomorphisms on Ω satisfying a uniform bounde…
Examples of *-commuting maps
Ben Maloney, Paulette N. Willis
We introduce the concept of a 1-coaligned -graph and prove that the shift maps of a -graph pairwise *-commute if and only if the -graph is 1-coaligned. We then prove that…
Local homeomorphisms that *-commute with the shift
Paulette N. Willis
Exel and Renault proved that a sliding block code on a one-sided shift space coming from a progressive block map is a local homeomorphism. We provide a counterexample showing that…