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) …

An intrinsic characterization of C*-simplicity

M Kennedy - arXiv preprint arXiv:1509.01870, 2015 - arxiv.org
A group is said to be C*-simple if its reduced C*-algebra is simple. We establish an intrinsic
(group-theoretic) characterization of groups with this property. Specifically, we prove that a …

Isotropy fibers of ideals in groupoid C⁎-algebras

J Christensen, S Neshveyev - Advances in Mathematics, 2024 - Elsevier
Given a locally compact étale groupoid and an ideal I in its groupoid C⁎-algebra, we show
that I defines a family of ideals in group C⁎-algebras of the isotropy groups and then study to …

[图书][B] Combinatorial set theory of C*-algebras

I Farah - 2019 - Springer
This book is shorter than In Search of Lost Time, is easier to read than Principia
Mathematica, and has more mathematical content than War and Peace. 1, 2 It provides an …

Stationary characters on lattices of semisimple Lie groups

R Boutonnet, C Houdayer - Publications mathématiques de l'IHÉS, 2021 - Springer
We show that stationary characters on irreducible lattices Γ< G Γ<G of higher-rank
connected semisimple Lie groups are conjugation invariant, that is, they are genuine …

Rigidity for von Neumann algebras of graph product groups II. Superrigidity results

I Chifan, M Davis, D Drimbe - Journal of the Institute of Mathematics …, 2025 - cambridge.org
RIGIDITY FOR VON NEUMANN ALGEBRAS OF GRAPH PRODUCT GROUPS II.
SUPERRIGIDITY RESULTS Page 1 J. Inst. Math. Jussieu (2024), 1–40 doi:10.1017/S147474802400015X …

-simplicity and the amenable radical

A Le Boudec - Inventiones mathematicae, 2017 - Springer
A countable group is C^* C∗-simple if its reduced C^* C∗-algebra is simple. It is well-known
that C^* C∗-simplicity implies that the amenable radical of the group must be trivial. We …

Irreducible inclusions of simple -algebras

M Rørdam - L'Enseignement Mathématique, 2023 - content.ems.press
The literature contains interesting examples of inclusions of simple C-algebras with the
property that all intermediate C-algebras likewise are simple. In this article we take up a …

C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems

A Dor-On, ETA Kakariadis, E Katsoulis, M Laca… - Advances in …, 2022 - Elsevier
A cosystem consists of a possibly nonselfadoint operator algebra equipped with a coaction
by a discrete group. We introduce the concept of C*-envelope for a cosystem; roughly …

The Baum–Connes conjecture: an extended survey

MPG Aparicio, P Julg, A Valette - … Geometry: On the Occasion of Alain …, 2019 - Springer
The Baum–Connes conjecture: an extended survey Page 1 The Baum–Connes conjecture: an
extended survey Maria Paula Gomez Aparicio, Pierre Julg, and Alain Valette To Alain Connes …