57 citations · 391 across the 41 of their papers we have counts for
42 papers
Conjugacy of local homeomorphisms via groupoids and C*-algebras
Becky Armstrong, Kevin Aguyar Brix, Toke Meier Carlsen +1
We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with a partially defined local homeomorphism. Important examples of such systems include s…
Shift equivalences through the lens of Cuntz-Krieger algebras
Toke Meier Carlsen, Adam Dor-On, Søren Eilers
Motivated by Williams' problem of measuring novel differences between shift equivalence (SE) and strong shift equivalence (SSE), we introduce three equivalence relations that provi…
Amplified graph C*-algebras II: reconstruction
Søren Eilers, Efren Ruiz, Aidan Sims
Let be a countable directed graph that is amplified in the sense that whenever there is an edge from to , there are infinitely many edges from to . We show that $…
Künneth Splittings and Classification of C*-Algebras with Finitely Many Ideals
Søren Eilers
The class of AD algebras of real rank zero is classified by an exact sequence of K-groups with coefficients, equipped with certain order structures. Such a sequence is always split…
Geometric classification of isomorphism of unital graph C*-algebras
Sara E. Arklint, Søren Eilers, Efren Ruiz
We geometrically describe the relation induced on a set of graphs by isomorphism of their associated graph C*-algebras as the smallest equivalence relation generated by five types…
Refined moves for structure-preserving isomorphism of graph C*-algebras
Søren Eilers, Efren Ruiz
We formalize eight different notions of isomorphism among (unital) graph C*-algebras, and initiate the study of which of these notions may be described geometrically as generated b…