Preprints

• Arveson’s hyperrigidity conjecture is false, with Boris Bilich.
• Normal coactions extend to the C*-envelope, with Kevin Aguyar Brix and Chris Bruce.
• Ratio-limit boundaries for random walks on relatively hyperbolic groups, with Matthieu Dussaule and Ilya Gekhtman.

Published papers:

• Shift equivalence through the lens of Cuntz-Krieger algebras, with Toke Meier Carlsen and Søren Eilers. Analysis and PDE, 17 (2024). Remark: Among other things, in this paper we refute the proof strategy of Theorem 5.8 in a paper of Kakariadis and Katsoulis (see arXiv:1210.6066v3).
• Finite dimensional approximations and semigroup coactions for operator algebras, with Raphaël Clouâtre. International Mathematics Research Notices, 24 (2023).
• C*-envelopes for operator algebras with a coaction and co-universal algebras for product systems, with Evgenios Kakariadis, Elias Katsoulis, Marcelo Laca and Xin Li. Advances in Mathematics, 400 (2022).
• Toeplitz quotient C*-algebras and ratio limits for random walks. Documenta Mathematica, 26 (2021). Remark: This paper was written in coordination with Prof. Woess, whose companion paper can be found here.
• Doob equivalence and non-commutative peaking for Markov chains, with Xinxin Chen, Langwen Hui, Christopher Linden and Yifan Zhang. Journal of Noncommutative Geometry, 15 (2021).
• Operator algebras for higher rank analysis and their application to factorial languages, with Evgenios Kakariadis. Journal d’Analyse Mathematique, 143 (2021).
• All finite transitive graphs admit self-adjoint free semigroupoid algebras, with Christopher Linden. Proc. Roy. Soc. Edinburgh. 151 (2021).
• Classification of irreversible and reversible Pimsner operator algebras, with Søren Eilers and Shirly Geffen. Compositio Mathematica, 156 (2021).
• Tensor algebras of product systems and their C*-envelopes, with Elias Katsoulis. Journal of Functional Analysis, 278 (2020).
• Structure of free semigroupoid algebras, with Ken Davidson and Boyu Li. Journal of Functional Analysis, 277 (2019).
• Full Cuntz-Krieger dilations via non-commutative boundaries, with Guy Salomon. J. London Math. Soc. 98 (2018). Remark: Dedicated to our dear friend Itzik Martziano who passed away in 2015.
• Isomorphisms of tensor algebras arising from weighted partial systems. Trans. Amer. Math. Soc. 370 (2018).
• C*-envelopes of tensor algebras arising from stochastic matrices, with Daniel Markiewicz. Integral Equations and Operator Theory, 88 (2017).
• Dilations, inclusions of matrix convex sets, and completely positive maps, with Kenneth Davidson, Orr Shalit and Baruch Solel. International Mathematics Research Notices (2017), no. 13. Remark: The published version contains an error in Section 6: a condition of nonsingularity is missing from the assumptions, making some of the results there incorrect as stated. This is fixed in the current arXiv version. The rest of the sections of the paper remain unaffected.
• Operator algebras and subproduct systems arising from stochastic matrices, with Daniel Markiewicz. Journal of Functional Analysis, 267 (2014).