C*-simplicity and the unique trace property for discrete groups
E Breuillard, M Kalantar, M Kennedy… - … mathématiques de l'IHÉS, 2017 - Springer
A discrete group is said to be C*-simple if its reduced C*-algebra is simple, and is said to
have the unique trace property if its reduced C*-algebra has a unique tracial state. A …
have the unique trace property if its reduced C*-algebra has a unique tracial state. A …
Stationary C*-dynamical systems.
Y Hartman, M Kalantar, U Bader - Journal of the European Mathematical …, 2023 - ems.press
Stationary C -dynamical systems Page 1 © 2022 European Mathematical Society Published
by EMS Press and licensed under a CC BY 4.0 license J. Eur. Math. Soc. 25, 1783–1821 (2023) …
by EMS Press and licensed under a CC BY 4.0 license J. Eur. Math. Soc. 25, 1783–1821 (2023) …
A lecture on invariant random subgroups
T Gelander - arXiv preprint arXiv:1503.08402, 2015 - arxiv.org
Invariant random subgroups (IRS) are conjugacy invariant probability measures on the
space of subgroups in a given group G. They can be regarded both as a generalization of …
space of subgroups in a given group G. They can be regarded both as a generalization of …
On the amenable subalgebras of group von Neumann algebras
We approach the study of sub-von Neumann algebras of the group von Neumann algebra L
(Γ) for countable groups Γ from a dynamical perspective. It is shown that L (Γ) admits a …
(Γ) for countable groups Γ from a dynamical perspective. It is shown that L (Γ) admits a …
Weak containment of measure-preserving group actions
PJ Burton, AS Kechris - Ergodic Theory and Dynamical Systems, 2020 - cambridge.org
This paper concerns the study of the global structure of measure-preserving actions of
countable groups on standard probability spaces. Weak containment is a hierarchical notion …
countable groups on standard probability spaces. Weak containment is a hierarchical notion …
Stationary C*-dynamical systems
Y Hartman, M Kalantar - arXiv preprint arXiv:1712.10133, 2017 - arxiv.org
arXiv:1712.10133v3 [math.OA] 8 Nov 2020 Page 1 arXiv:1712.10133v3 [math.OA] 8 Nov 2020
STATIONARY C∗-DYNAMICAL SYSTEMS YAIR HARTMAN AND MEHRDAD KALANTAR …
STATIONARY C∗-DYNAMICAL SYSTEMS YAIR HARTMAN AND MEHRDAD KALANTAR …
[PDF][PDF] Future directions in locally compact groups: a tentative problem list
PE Caprace, N Monod - New directions in locally compact groups, 2018 - egg.epfl.ch
She went on saying to herself, in a dreamy sort of way,“Do cats eat bats? Do cats eat bats?”
and sometimes,“Do bats eat cats?” for, you see, as she couldn't answer either question, it …
and sometimes,“Do bats eat cats?” for, you see, as she couldn't answer either question, it …
Generic IRS in free groups, after Bowen
A Eisenmann, Y Glasner - Proceedings of the American Mathematical …, 2016 - ams.org
Let $ E $ be a measure preserving equivalence relation, with countable equivalence
classes, on a standard Borel probability space $(X,\mathcal {B},\mu) $. Let $([E], d_ {u}) $ be …
classes, on a standard Borel probability space $(X,\mathcal {B},\mu) $. Let $([E], d_ {u}) $ be …
A view on invariant random subgroups and lattices
T Gelander - Proceedings of the International Congress of …, 2018 - World Scientific
For more than half a century lattices in Lie groups played an important role in geometry,
number theory and group theory. Recently the notion of Invariant Random Subgroups (IRS) …
number theory and group theory. Recently the notion of Invariant Random Subgroups (IRS) …
On the Growth of L2-Invariants of Locally Symmetric Spaces, II: Exotic Invariant Random Subgroups in Rank One
M Abert, N Bergeron, I Biringer… - International …, 2020 - academic.oup.com
In the 1st paper of this series we studied the asymptotic behavior of Betti numbers, twisted
torsion, and other spectral invariants for sequences of lattices in Lie groups G. A key element …
torsion, and other spectral invariants for sequences of lattices in Lie groups G. A key element …