27 citations · 62 across the 16 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
Finite group extensions of shifts of finite type: K-theory, Parry and Livšic
Mike Boyle, Scott Schmieding
This paper extends and applies algebraic invariants and constructions for mixing finite group extensions of shifts of finite type. For a finite abelian group G, Parry showed how to…
Strong shift equivalence and the generalized spectral conjecture for nonnegative matrices
Mike Boyle, Scott Schmieding
We show that the weak and strong forms of the Generalized Spectral Conjecture (GSC) of Boyle and Handelman are equivalent. The GSC asserts that well understood necessary spectral c…
Strong shift equivalence and algebraic K-theory
Mike Boyle, Scott Schmieding
Let R be a ring. Let SSE-R be the equivalence relation on square matrices (allowed to have different size) over R generated by A ~ B if there exist matrices U,V over R such that A…