Ergodic theory in its broadest sense is the study of group actions on measure spaces.
Historically the discipline has tended to concentrate on the framework of integer actions, in …

There is the general principle to consider a classical invariant of a closed Riemannian
manifold M and to define its analog for the universal covering M taking the action of the …

We give algebraic characterizations for expansiveness of algebraic actions of countable
groups. The notion of p p-expansiveness is introduced for algebraic actions, and we show …

We show that for any amenable group $\Gamma $ and any $\mathbb {Z}\Gamma $-module
$\mathcal {M} $ of type FL with vanishing Euler characteristic, the entropy of the natural …

We provide a unifying approach which links results on algebraic actions by Lind and
Schmidt, Chung and Li, and a topological result by Meyerovitch that relates entropy to the …

Entropy and isoperimetry for linear and non-linear group actions Page 1 Groups Geom. Dyn. 2
(2008), 499–593 Groups, Geometry, and Dynamics © European Mathematical Society Entropy …

We introduce an invariant, called mean rank, for any module ℳ of the integral group ring of a
discrete amenable group Γ, as an analogue of the rank of an abelian group. It is shown that …

We present a construction of a Banach manifold structure on the set of faithful normal states
of a von Neumann algebra, where the underlying Banach space is a quantum analogue of …

We describe the infinite family of spider-web graphs $ S_ {k, M, N} $, $ k\geq 2$, $ M\geq 1$
and $ N\geq 0$, studied in physical literature as tensor products of well-known de Bru** …

Let G be a finitely generated group and G▷ G1▷ G2▷⋯ be normal subgroups such that⋂
k= 1∞ Gk={1}. Let A∈ Matd× d (CG) and Ak∈ Matd× d (C (G/Gk)) be the images of A under …