Ergodic Theory: Nonsingular Transformations Page 1 Ergodic Theory: Nonsingular
Transformations Alexandre I. Danilenko1 and Cesar E. Silva2 1B.Verkin Institute for Low …

K-property for Maharam extensions of non-singular Bernoulli and Markov shifts Page 1
Ergod. Th. & Dynam. Sys. (2019), 39, 3292–3321 doi:10.1017/etds.2018.14 c Cambridge …

We reformulate matrix-valued random walks and their associated group actions in terms of
dimension groups, suitably modified to deal with measure-theoretic classification. This leads …

We announce some new results regarding the classification problem for separable von
Neumann algebras. Our results are obtained by applying the notion of Borel reducibility and …

Which factors of type III,, are isomorphic to their tensor square? By Krieger's theorem [IS] and
a result of Hamachi, Oka, and Osikawa [151, a Krieger factor (ie, a crossed product of an …

Let $ G $ be a discrete countable Abelian group. We construct an infinite measure
preserving rank one action $ T=(T_g) $ of $ G $ such that (i) the transformation $ T_g $ has …

We prove that many, but not all, injective factors arise as crossed products by nonsingular
Bernoulli actions of the group matrices. Finally, we construct Poisson suspension actions …

Approximate transitivity for zero-entropy systems Page 1 Ergod. Th. & Dynam. Sys. (2005), 25,
443–453 c 2004 Cambridge University Press DOI: 10.1017/S0143385704000525 Printed in …

Krieger's theorem [11] states, in part, that the flow of weights considered as a mapping from
type] II0 Krieger factors (see terminology) with algebraic isomorphism as the equivalence …

Wi wk (k= i+ l, i+ 2," 0), where Q (i)={to Eq: wk= n kl, k= 1, 2, ooo, il, Wi: It n il}. We consider
only a case that an infinite product measure P does not have an atomic point. Then T is an …