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math.OA2024
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…
math.OA2024
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…
math.OA2024
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…