Proper proximality among various families of groups
C Ding, SK Elayavalli - Groups, Geometry, and Dynamics, 2024 - ems.press
In this paper, the notion of proper proximality (introduced by Boutonnet, Ioana, and Peterson
[Ann. Sci. Éc. Norm. Supér.(4) 54 (2021), 445–482]) is studied and classified in various …
[Ann. Sci. Éc. Norm. Supér.(4) 54 (2021), 445–482]) is studied and classified in various …
Torsion homology growth and cheap rebuilding of inner-amenable groups
M Uschold - Groups, Geometry, and Dynamics, 2024 - ems.press
Torsion homology growth and cheap rebuilding of inner-amenable groups Page 1 Groups
Geom. Dyn. (Online first) DOI 10.4171/GGD/803 © 2024 European Mathematical Society …
Geom. Dyn. (Online first) DOI 10.4171/GGD/803 © 2024 European Mathematical Society …
A non-uniformly inner amenable group
I Goldbring - Journal of Algebra, 2024 - Elsevier
We provide an example of two elementarily equivalent countable ICC groups G and H such
that G is amenable and H is not inner amenable. As a result, we provide the first example of …
that G is amenable and H is not inner amenable. As a result, we provide the first example of …
Fullness of crossed products of factors by discrete groups
A Marrakchi - Proceedings of the Royal Society of Edinburgh Section …, 2020 - cambridge.org
Let M be an arbitrary factor and σ: Γ M an action of a discrete group. In this paper, we study
the fullness of the crossed product M σ Γ. When Γ is amenable, we obtain a complete …
the fullness of the crossed product M σ Γ. When Γ is amenable, we obtain a complete …
Exactness Versus C*-Exactness for Certain Non-discrete Groups
N Manor - Integral Equations and Operator Theory, 2021 - Springer
It is known that exactness for a discrete group is equivalent to C*-exactness, ie, the
exactness of its reduced C*-algebra. The problem of whether this equivalence holds for …
exactness of its reduced C*-algebra. The problem of whether this equivalence holds for …
Exactness vs C*-exactness for certain non-discrete groups
N Manor - arXiv preprint arXiv:1907.08856, 2019 - arxiv.org
It is known that exactness for a discrete group is equivalent to C*-exactness, ie, the
exactness of its reduced C*-algebra. The problem of whether this equivalence holds for …
exactness of its reduced C*-algebra. The problem of whether this equivalence holds for …
Algebras associated with invariant means on the subnormal subgroups of an amenable group
JT White - The Quarterly Journal of Mathematics, 2022 - academic.oup.com
Let G be an amenable group. We define and study an algebra, which is related to invariant
means on the subnormal subgroups of G. For a just infinite amenable group G, we show that …
means on the subnormal subgroups of G. For a just infinite amenable group G, we show that …