4 papers · 1 filter
An obstruction to isomorphism of tensor algebras of multivariable dynamical systems
Boris Bilich
In their paper on multivariable dynamics, Davidson and Katsoulis conjectured that two multivariable dynamical systems have isomorphic tensor algebras if and only if they are piecew…
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…
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…