4 papers
Orbit equivalence of higher-rank graphs
Toke Meier Carlsen, James Rout
We study the notions of continuous orbit equivalence and eventual one-sided conjugacy of finitely-aligned higher-rank graphs and two-sided conjugacy of row-finite higher-rank graph…
Diagonal-preserving graded isomorphisms of Steinberg algebras
Toke Meier Carlsen, James Rout
We study Steinberg algebras constructed from ample Hausdorff groupoids over commutative integral domains with identity. We reconstruct (graded) groupoids from (graded) Steinberg al…
The classification of some generalised Bunce-Deddens algebras
James Rout
We use -theory to prove an isomorphism theorem for a large class of generalised Bunce-Deddens algebras constructed by Kribs and Solel from a directed graph and a sequence $ω…
Diagonal-preserving gauge-invariant isomorphisms of graph -algebras
Toke Meier Carlsen, James Rout
We study graph -algebras equipped with generalised gauge actions, and characterise in terms of groupoids and groupoid cocycles when two graph -algebras are isomorphic by…