This paper is a survey on general (simple and non-simple) Bratteli diagrams which focuses
on the following topics: finite and infinite tail invariant measures on the path space XB of a …

The goal of this paper is to put together several techniques in handling dynamical systems
on zero-dimensional spaces, such as array representation, inverse limit representation, or …

To any continuous eigenvalue of a Cantor minimal system (X,\, T)(X, T), we associate an
element of the dimension group K^ 0 (X,\, T) K 0 (X, T) associated to (X,\, T)(X, T). We …

In (1936), Murrary and von Neumann showed that factors, the building blocks of von
Neumann algebras, are of three different types. Defining the group measure space …

In [24] Matsumoto associated to each shift space (also called a subshift) an Abelian group
which is now known as Matsumoto's K0-group. It is defined as the cokernel of a certain map …

This paper is a survey devoted to the study of probability and infinite ergodic invariant
measures for aperiodic homeomorphisms of a Cantor set. We focus mostly on the cases …

For a Bratteli diagram B, we study the simplex M 1 (B) of probability measures on the path
space of B which are invariant with respect to the tail equivalence relation. Equivalently, M 1 …

Bratteli–Vershik models of compact, invertible zero-dimensional systems have been well
studied. We take up such a study for polygonal billiards on the hyperbolic plane, thus …

The Matsumoto K0-group is an interesting invariant of flow equivalence for symbolic
dynamical systems. Because of its origin as the K-theory of a certain C∗-algebra, which is …

Toeplitz flows and their ordered K-theory Page 1 Ergod. Th. & Dynam. Sys. (2016), 36, 1892–1921
doi:10.1017/etds.2014.144 c Cambridge University Press, 2015 Toeplitz flows and their …