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

58 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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5 papers · 1 filter

math.DS2016★ 36 cited

Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids

Toke Meier Carlsen, Søren Eilers, Eduard Ortega +1

We give conditions for when continuous orbit equivalence of one-sided shift spaces implies flow equivalence of the associated two-sided shift spaces. Using groupoid techniques, we…

math.DS2016★ 16 cited

Orbit equivalence of graphs and isomorphism of graph groupoids

Toke Meier Carlsen, Marius Lie Winger

We show that the groupoids of two directed graphs are isomorphic if and only if the two graphs are orbit equivalent by an orbit equivalence that preserves isolated eventually perio…

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.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…