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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …