51 citations · 100 across the 23 of their papers we have counts for
4 papers · 1 filter
Shift equivalence relations through the lens of C*-correspondences
Boris Bilich, Adam Dor-On, Efren Ruiz
We continue the study of shift equivalence relations from the perspective of C*-bimodule theory. We study emerging shift equivalence relations following work of the second-named au…
Unital aligned shift equivalence and the graded classification conjecture for Leavitt path algebras
Kevin Aguyar Brix, Adam Dor-On, Roozbeh Hazrat +1
We prove that a unital shift equivalence induces a graded isomorphism of Leavitt path algebras when the shift equivalence satisfies an alignment condition. This yields another step…
Equivariant homotopy classification of graph C*-algebras
Boris Bilich, Adam Dor-On, Efren Ruiz
We show that shift equivalence of essential adjacency matrices coincides with gauge-equivariant homotopy equivalence of their stabilized graph C*-algebras. This provide the first e…
Arveson's hyperrigidity conjecture is false
Boris Bilich, Adam Dor-On
Arveson's hyperrigidity conjecture predicts that if the non-commutative Choquet boundary of a separable operator system is the entire spectrum of its generated C*-alg…