Coboundaries of commuting Borel automorphisms
From MaRDI portal
Publication:5033077
DOI10.7494/OpMath.2021.41.5.667zbMath1491.37016arXiv2006.02925OpenAlexW3202640681MaRDI QIDQ5033077
Publication date: 22 February 2022
Published in: Opuscula Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.02925
Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Nonsingular (and infinite-measure preserving) transformations (37A40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Basic ergodic theory
- Measure reducibility of countable Borel equivalence relations
- Outer conjugacy for actions of continuous amenable groups
- Weak equivalence and the structures of cocycles of an ergodic automorphism
- Coboundaries for commuting transformations
- Classification and structure of cocycles of amenable ergodic equivalence relations
- Real coboundaries for minimal Cantor systems.
- Topics in orbit equivalence
- Topologies on the group of Borel automorphisms of a standard Borel space
- Countable abelian group actions and hyperfinite equivalence relations
- Ergodic theory and virtual groups
- Virtual groups and group actions
- On the ergodic decomposition for a cocycle
- The existence of measures of a given cocycle, I: atomless, ergodic σ-finite measures
- Measurable dynamics
- Subrelations of ergodic equivalence relations
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
- Quasinormal subrelations of ergodic equivalence relations
- The Structure of Hyperfinite Borel Equivalence Relations
- COUNTABLE BOREL EQUIVALENCE RELATIONS
- Cocycles and continuity
- On the existence of cocycle-invariant Borel probability measures
- Coordinatewise decomposition, Borel cohomology, and invariant measures
- Groups of Automorphisms of Borel Spaces
- [https://portal.mardi4nfdi.de/wiki/Publication:5676460 Entropie d'un groupe ab�lien de transformations]