Boris Bilich

collaborators

3 papers

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 $S$ is the entire spectrum of its generated C*-alg…

math.OA2023

Ideal structure of Nica-Toeplitz algebras

Boris Bilich

We study the gauge-invariant ideal structure of the Nica-Toeplitz algebra $N T (X)$ of a product system $(A, X)$ over $N^{n}$ . We obtain a clear description of $X$ -i…