Speedups of ergodic group extensions of -actions

DOI10.1080/14689367.2014.884542zbMath1364.37005OpenAlexW2158970687MaRDI QIDQ5418068

Aimee S. A. Johnson, David M. McClendon

Publication date: 26 May 2014

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2014.884542

zbMATH Keywords

group extensionrelative isomorphismergodic \(\mathbb Z^d\)-action

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items

Ergodic theorems for capacity preserving \(\mathbb{Z}_+^d\)-actions ⋮ Bratteli diagrams for bounded topological speedups ⋮ Topological speedups of ℤ^d-actions

Cites Work

• Factor orbit equivalence of compact group extensions and classification of finite extensions of ergodic automorphisms
• Cutting and stacking, interval exchanges and geometric models
• Entropy and isomorphism theorems for actions of amenable groups
• Factor orbit equivalence of compact group extensions
• Full groups and a theorem of Dye
• Amenable ergodic group actions and an application to Poisson boundaries of random walks
• Pointwise theorems for amenable groups.
• Speedups of ergodic group extensions
• On Groups of Measure Preserving Transformations. I
• Polish group actions: Dichotomies and generalized elementary embeddings
• On Groups of Measure Preserving Transformations. II
• [https://portal.mardi4nfdi.de/wiki/Publication:5612191 Une d�monstration simplifi�e et une extension de la formule d'Abramov sur l'entropie des transformations induites]