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)
PDF
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)
PDF
Skew-amenability of topological groups.
(with M. Schneider) Commentarii Mathematici Helvetici 96 (4), 805-851, (2022)
PDF
The extension problem in free harmonic analysis. (with Peter Burton)
Annals of Functional Analysis volume 13, Article number: 43 (2022)
PDF
Liouville property of strongly transitive actions.
Proc. AMS, 36, no. 9. (2023)
PDF
On elementary amenable bounded automata groups.
(with B. Steinberg, P. Wesolek) Indiana Univ. Math. J. 70, 2479-2526 (2021)
PDF
Invariable generation of Thompson groups.
(with T. Gelander, G. Golan). Journal of Algebra 478 (2017): 261-270
PDF
Infinitely supported Liouville measures of Schreier graphs.
(with Tianyi Zheng) Groups, Geometry, and Dynamics, V 12, Issue 3, 2018, pp. 911-918
PDF
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)
PDF
More simple finitely generated infinite amenable groups.
(with V. Nekrashevych, M. Chorniy)
Groups, Geometry, and Dynamics 14 (1), 61-79, (2016)
PDF
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)
PDF
Non-elementary amenable subgroups of automata groups. Journal of Topology and Analysis, 10, 35 (2018).
PDF
Soficity, short cycles, weak stability and the Higman group. (with Harald Helfgott)
Transactions of the American Mathematical Society 371.4, 2771-2795 (2019)
PDF
Extensions of amenable groups by recurrent groupoids.
(with Volodia Nekrashevych, Mikael de la Salle)
Inventiones Mathematicae. 206(3), 837-867 (2016)
PDF
Uniformly bounded representations and exact groups.
(with Piotr Nowak)
Journal of Functional Analysis 266, no. 3, 1667-1673, 2014
PDF
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.
PDF
Invariant means of the wobbling group.
(with Mikael de la Salle). Bull. Belg. Math. Soc. Volume 22, Number 2 (2015), 281 - 290
PDF
Small spectral radius and percolation constants on non-amenable Cayley graphs.
(with Tatiana Smirnova-Nagnibeda), Proc. Amer. Math. Soc. 143 (2015), 1449 - 1458
PDF
Cantor systems, piecewise translations and simple amenable groups.
(with Nicolas Monod). Annals of Mathematics, Volume 178, Issue 2, 775 - 787, 2013
PDF
Finitely presented groups related to Kaplansky's direct finiteness conjecture.
(with Ken Dykema, Timo Heister) Experimental Mathematics 24 (2015), 326-338.
PDF
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
PDF
Matrices of unitary moments
(with K. Dykema), Mathematica Scandinavica, 109, 225 - 239, 2011
PDF
Algebraic reformulation of Connes' embedding problem and the group algebra of a free group.
(with S. Popovych), Israel Journal of Mathematics, Volume 181, 2011
PDF
Ideals of C*-algebra generated by an operator algebra,
Mathematische Zeitschrift, 266, no. 3, 2010
PDF
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
PDF
Multidimensional operator multipliers.
(with I. Todorov, L. Turowska), Transactions of American Mathematical Society, Volume 361, 2009
PDF