1 citations · 1 across the 8 of their papers we have counts for
9 papers
Graded classification of Leavitt path algebras in terms of strong shift equivalence
Boris Bilich, Adam Dor-On
Given two finite essential adjacency matrices and , Hazrat's graded classification conjectures posit that an order preserving -module isomorphism of $K…
Embedding -algebras into Leavitt algebra
Boris Bilich, Roozbeh Hazrat, Tran Giang Nam
Since the commutative monoid is a weak terminal object in the category of conical monoids with order units, there is a unital homomorphism from every Bergman…
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…
Ideal structure of Nica-Toeplitz algebras
Boris Bilich
We study the gauge-invariant ideal structure of the Nica-Toeplitz algebra of a product system over . We obtain a clear description of -i…
Taylor spectrum for modules over Lie algebras
Boris Bilich
In this paper we generalize the notion of the Taylor spectrum to modules over an arbitrary Lie algebra and study it for finite-dimensional modules. We show that the spectrum can be…
Classification of noncommutative monoid structures on normal affine surfaces
Boris Bilich
In 2021, Dzhunusov and Zaitseva classified two-dimensional normal affine commutative algebraic monoids. In this work, we extend this classification to noncommutative monoid structu…