output
20082024
most citedEquivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras

58 citations

Showing 2015Show all

6 papers · 1 filter

math.DS2015★ 2 cited

Flow Equivalence of G-SFTs

Mike Boyle, Toke Meier Carlsen, Søren Eilers

In this paper, a G-shift of finite type (G-SFT) is a shift of finite type together with a free continuous shift-commuting action by a finite group G. We reduce the classification o…

math.OA2015★ 6 cited

On Hong and Szymanski's description of the primitive-ideal space of a graph algebra

Toke Meier Carlsen, Aidan Sims

In 2004, Hong and Szymanski gave a complete description of the primitive-ideal space of the C*-algebra of a directed graph. This article details a slightly different approach, in t…

math.DS2015★ 27 cited

Flow equivalence of sofic shifts

Mike Boyle, Toke Meier Carlsen, Søren Eilers

We classify certain sofic shifts (the irreducible Point Extension Type, or PET, sofic shifts) up to flow equivalence, using invariants of the canonical Fischer cover. There are two…

math.DS2015★ 15 cited

Flow equivalence and isotopy for subshifts

Mike Boyle, Toke Meier Carlsen, Søren Eilers

We study basic properties of flow equivalence on one-dimensional compact metric spaces with a particular emphasis on isotopy in the group of (self-) flow equivalences on such a spa…

math.OA2015★ 20 cited

-algebras associated to Boolean dynamical systems

Toke Meier Carlsen, Eduard Ortega, Enrique Pardo

The goal of these notes is to present the C*-algebra of a Boolean dynamical system , that generalizes the -algebra associated to Labelled graphs introduc…

math.OA2015★ 1 cited

Corrigendum to "Classifying C*-algebras with both finite and infinite subquotients"

Søren Eilers, Gunnar Restorff, Efren Ruiz

As recently pointed out by Gabe, a fundamental paper by Elliott and Kucerovsky concerning the absorption theory for C*-algebras contains an error, and as a consequence we must repo…