Sofic and hyperlinear approximations of amenable groups.
(with P. Burton, M. Chaudkhari, K. Mulyarchik), in preparation
Amenability by examples.
American Mathematical Society, Volume 266, (2022)
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Properties of group actions on orbits of an amenable equivalence relation and topological versions of Kesten's theorem.
(with M. Chaudkhari, K. Juschenko, M. Schneider)
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Skew-amenability of topological groups.
(with M. Schneider) Commentarii Mathematici Helvetici 96 (4), 805-851, (2022)
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The extension problem in free harmonic analysis. (with Peter Burton)
Annals of Functional Analysis volume 13, Article number: 43 (2022)
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Liouville property of strongly transitive actions.
Proc. AMS, 36, no. 9. (2023)
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On elementary amenable bounded automata groups.
(with B. Steinberg, P. Wesolek) Indiana Univ. Math. J. 70, 2479-2526 (2021)
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Invariable generation of Thompson groups.
(with T. Gelander, G. Golan). Journal of Algebra 478 (2017): 261-270
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Infinitely supported Liouville measures of Schreier graphs.
(with Tianyi Zheng) Groups, Geometry, and Dynamics, V 12, Issue 3, 2018, pp. 911-918
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Thompson's group F is not strongly amenable.
(with Yair Hartman, Kate Juschenko, Omer Tamuz, Pooya Vahidi Ferdowsi)
Ergodic Theory and Dynamical Systems 39 (4), 925-929, (2019)
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More simple finitely generated infinite amenable groups.
(with V. Nekrashevych, M. Chorniy)
Groups, Geometry, and Dynamics 14 (1), 61-79, (2016)
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Extensive amenability and an application to interval exchanges.
(with N. Matte Bon, N. Monod, M. de la Salle)
Ergodic Theory and Dynamical Systems, 1-25 (2016)
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Non-elementary amenable subgroups of automata groups. Journal of Topology and Analysis, 10, 35 (2018).
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Soficity, short cycles, weak stability and the Higman group. (with Harald Helfgott)
Transactions of the American Mathematical Society 371.4, 2771-2795 (2019)
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Extensions of amenable groups by recurrent groupoids.
(with Volodia Nekrashevych, Mikael de la Salle)
Inventiones Mathematicae. 206(3), 837-867 (2016)
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Uniformly bounded representations and exact groups.
(with Piotr Nowak)
Journal of Functional Analysis 266, no. 3, 1667-1673, 2014
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Ideals structure of the group C*-algebra of the Thompson group T (with Collin Bleak) Topological methods in geometric group theory, in honor of Ross Geoghegan's 70th birthday. London Math. Soc. Lecture
Notes series.
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Invariant means of the wobbling group.
(with Mikael de la Salle). Bull. Belg. Math. Soc. Volume 22, Number 2 (2015), 281 - 290
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Small spectral radius and percolation constants on non-amenable Cayley graphs.
(with Tatiana Smirnova-Nagnibeda), Proc. Amer. Math. Soc. 143 (2015), 1449 - 1458
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Cantor systems, piecewise translations and simple amenable groups.
(with Nicolas Monod). Annals of Mathematics, Volume 178, Issue 2, 775 - 787, 2013
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Finitely presented groups related to Kaplansky's direct finiteness conjecture.
(with Ken Dykema, Timo Heister) Experimental Mathematics 24 (2015), 326-338.
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A description of the logmodular subalgebras in the finite dimensional C*-algebras.
(with Ken Dykema, Timo Heister) Indiana University Mathematics Journal, 60, 1171-1176, 2011
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Matrices of unitary moments
(with K. Dykema), Mathematica Scandinavica, 109, 225 - 239, 2011
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Algebraic reformulation of Connes' embedding problem and the group algebra of a free group.
(with S. Popovych), Israel Journal of Mathematics, Volume 181, 2011
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Ideals of C*-algebra generated by an operator algebra,
Mathematische Zeitschrift, 266, no. 3, 2010
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Compactness properties of operator multipliers.
(with R. Levene, I. Todorov, L. Turowska), Journal of Functional Analysis, Volume 256, Issue 11, 2009 PDF
Matrix ordered operator algebras.
(with S. Popovych), Indiana University Mathematics Journal, Volume 59 No. 3, 2009
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Multidimensional operator multipliers.
(with I. Todorov, L. Turowska), Transactions of American Mathematical Society, Volume 361, 2009
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