אודות
Functional analysis, operator theory and operator algebras, with a view towards applications in other areas of Mathematics, Physics and Computer Science. This includes interactions with symbolic dynamics, semigroup and group theories, random walks, non-commutative convex geometry and quantum information theory.
פרסומים
- Normal coactions extend to the C*-envelope, Brix, K. A., Bruce, C. & Dor-On, A., May 2026, In: Advances in Mathematics. 493, 110921.
- Unital aligned shift equivalence and the graded classification conjecture for Leavitt path algebras, Aguyar Brix, K., Dor-On, A., Hazrat, R. & Ruiz, E., Jul 2025, In: Mathematische Zeitschrift. 310, 3, 47.
- SHIFT EQUIVALENCES THROUGH THE LENS OF CUNTZ–KRIEGER ALGEBRAS, Carlsen, T. M., Dor-On, A. & Eilers, S., 2024, In: Analysis and PDE. 17, 1, p. 345-377 33 p.
- Finite-Dimensional Approximations and Semigroup Coactions for Operator Algebras, Clouâtre, R. & Dor-On, A., 1 Dec 2023, In: International Mathematics Research Notices. 2023, 24, p. 22138-22184 47 p.
- C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems, Dor-On, A., Kakariadis, E. T. A., Katsoulis, E., Laca, M. & Li, X., 14 May 2022, In: Advances in Mathematics. 400, 108286.
- Operator algebras for higher rank analysis and their application to factorial languages, Dor-On, A. & Kakariadis, E. T. A., Jun 2021, In: Journal d'Analyse Mathematique. 143, 2, p. 555-613 59 p.
- All finite transitive graphs admit a self-adjoint free semigroupoid algebra, Dor-On, A. & Linden, C., Feb 2021, In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 151, 1, p. 391-406 16 p.
- Classification of irreversible and reversible Pimsner operator algebras, Dor-On, A., Eilers, S. & Geffen, S., 2021, In: Compositio Mathematica. 156, 12, p. 2510-2535 26 p.
- Toeplitz Quotient C*-Algebras and Ratio Limits for Random Walks, Dor-On, A., 2021, In: Documenta Mathematica. 26, p. 1529-1556 28 p.
- Doob equivalence and non-commutative peaking for Markov chains, Chen, X., Dor-On, A., Hui, L., Linden, C. & Zhang, Y., 2021, In: Journal of Noncommutative Geometry. 15, 4, p. 1469-1484 16 p.
- Tensor algebras of product systems and their C⁎-envelopes, Dor-On, A. & Katsoulis, E., 15 Apr 2020, In: Journal of Functional Analysis. 278, 7, 108416.
- Structure of free semigroupoid algebras, Davidson, K. R., Dor-On, A. & Li, B., 1 Nov 2019, In: Journal of Functional Analysis. 277, 9, p. 3283-3350 68 p.
- Full Cuntz–Krieger dilations via non-commutative boundaries, Dor-On, A. & Salomon, G., Oct 2018, In: Journal of the London Mathematical Society. 98, 2, p. 416-438 23 p.
- Isomorphisms of tensor algebras arising from weighted partial systems, Dor-On, A., May 2018, In: Transactions of the American Mathematical Society. 370, 5, p. 3507-3549 43 p.
- Dilations, Inclusions of Matrix Convex Sets, and Completely Positive Maps, Davidson, K. R., Dor-On, A., Shalit, O. M. & Solel, B., 1 Jul 2017, In: International Mathematics Research Notices. 2017, 13, p. 4069-4130 62 p.
- C*-Envelopes of Tensor Algebras Arising from Stochastic Matrices, Dor-On, A. & Markiewicz, D., 1 Jun 2017, In: Integral Equations and Operator Theory. 88, 2, p. 185-227 43 p.
- Operator algebras and subproduct systems arising from stochastic matrices, Dor-On, A. & Markiewicz, D., 15 Aug 2014, In: Journal of Functional Analysis. 267, 4, p. 1057-1120 64 p.