51 citations · 100 across the 23 of their papers we have counts for
29 papers
On C*-nuclearity of graph operator systems
Adam Dor-On, Travis Russell
We classify the set of finite simple undirected graphs whose corresponding graph operator system is C*-nuclear. We prove that the operator system associated to the graph is C*-nucl…
A Nica-amenable submonoid of a group which fails to embed in an amenable group
Adam Dor-On, Adam Dor-on, Boyu Li
We construct a weakly quasilattice-ordered submonoid of a group whose full semigroup -algebra is nuclear, while the monoid does not embed into any amenable group. Hen…
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…
Obstructions to the full Hao-Ng isomorphism
Adam Dor-On, Ian Thompson
We show that the Hao-Ng isomorphism for full crossed products fails to hold. More precisely, for a non-degenerate -correspondence over a -algebra and a…
Space-time boundaries for random walks and their application to operator algebras
Adam Dor-On, Ilya Gekhtman, Pavel Prudnikov
We investigate the Martin boundary of the space-time Markov chain associated to a finitely supported random walk with spectral radius and relate it to several classica…
Products and factorization in operator systems
Adam Dor-On, Travis B. Russell
We study unital operator spaces endowed with a partially defined product. We give a matrix-norm characterization of such products that allows for a representation theorem where the…
On almost commuting unitary matrices
Adam Dor-On, Lucas Hall, Ilya Kachkovskiy
A question going back to Halmos asks when two approximately commuting matrices of a certain kind are close to exactly commuting matrices of the same kind. It has long been known th…
The Hao-Ng isomorphism theorem for reduced crossed products
Adam Dor-On, Ian Thompson
We prove the Hao-Ng isomorphism for reduced crossed products by locally compact Hausdorff groups. More precisely, for a non-degenerate -correspondence and a gener…
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…
Normal coactions extend to the C*-envelope
Kevin Aguyar Brix, Chris Bruce, Adam Dor-On
We show that a normal coaction of a discrete group on an operator algebra extends to a normal coaction on the C*-envelope. This resolves an open problem attempted by several expert…
Ratio-limit boundaries for random walks on relatively hyperbolic groups
Adam Dor-On, Matthieu Dussaule, Ilya Gekhtman
We study boundaries arising from limits of ratios of transition probabilities for random walks on relatively hyperbolic groups. We extend, as well as determine significant limitati…
Toeplitz quotient C*-algebras and ratio limits for random walks
Adam Dor-On
We study quotients of the Toeplitz C*-algebra of a random walk, similar to those studied by the author and Markiewicz for finite stochastic matrices. We introduce a new Cuntz-type…
Finite-dimensional approximations and semigroup coactions for operator algebras
Raphaël Clouâtre, Adam Dor-On
The residual finite-dimensionality of a -algebra is known to be encoded in a topological property of its space of representations, stating that finite-dimensional rep…
C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems
Adam Dor-On, Evgenios T. A. Kakariadis, Elias G. Katsoulis +2
A cosystem consists of a possibly nonselfadoint operator algebra equipped with a coaction by a discrete group. We introduce the concept of C*-envelope for a cosystem; roughly speak…
Shift equivalences through the lens of Cuntz-Krieger algebras
Toke Meier Carlsen, Adam Dor-On, Søren Eilers
Motivated by Williams' problem of measuring novel differences between shift equivalence (SE) and strong shift equivalence (SSE), we introduce three equivalence relations that provi…
Doob equivalence and non-commutative peaking for Markov chains
Xinxin Chen, Adam Dor-On, Langwen Hui +2
In this paper we show how questions about operator algebras constructed from stochastic matrices motivate new results in the study of harmonic functions on Markov chains. More prec…
Classification of irreversible and reversible Pimsner operator algebras
Adam Dor-On, Søren Eilers, Shirly Geffen
Since their inception in the 30's by von Neumann, operator algebras have been used in shedding light in many mathematical theories. Classification results for self-adjoint and non-…
All finite transitive graphs admit self-adjoint free semigroupoid algebras
Adam Dor-On, Christopher Linden
In this paper we show that every non-cycle finite transitive directed graph has a Cuntz-Krieger family whose WOT-closed algebra is . This is accomplished through a…
Operator algebras for higher rank analysis and their application to factorial languages
Adam Dor-On, Evgenios T. A. Kakariadis
We study strong compactly aligned product systems of over a C*-algebra . We provide a description of their Cuntz-Nica-Pimsner algebra in terms of tractable rela…
Tensor algebras of product systems and their C*-envelopes
Adam Dor-On, Elias Katsoulis
Let be an abelian, lattice ordered group and let be a compactly aligned product system over . We show that the C*-envelope of the Nica tensor algebra $\mathcal{N}\m…
Structure of free semigroupoid algebras
Kenneth R. Davidson, Adam Dor-On, Boyu Li
A free semigroupoid algebra is the closure of the algebra generated by a TCK family of a graph in the weak operator topology. We obtain a structure theory for these algebras analog…