Entropy geometry and disjointness for zero-dimensional algebraic actions

Manfred Einsiedler; Thomas Ward

doi:10.1515/crll.2005.2005.584.195

Entropy geometry and disjointness for zero-dimensional algebraic actions

Manfred Einsiedler, Thomas Ward

School of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We show that many algebraic actions of higher-rank abelian groups on zero-dimensional compact abelian groups are mutually disjoint. The proofs exploit differences in the entropy geometry arising from subdynamics and a form of Abramov-Rokhlin formula for half-space entropies.

Original language	English
Pages (from-to)	195-214
Number of pages	20
Journal	Journal für die reine und angewandte Mathematik (Crelles Journal)
Volume	2005
Issue number	584
DOIs	https://doi.org/10.1515/crll.2005.2005.584.195
Publication status	Published - 2005

Access to Document

10.1515/crll.2005.2005.584.195

Cite this

@article{cf767e8e015642589d490f083044e672,

title = "Entropy geometry and disjointness for zero-dimensional algebraic actions",

abstract = "We show that many algebraic actions of higher-rank abelian groups on zero-dimensional compact abelian groups are mutually disjoint. The proofs exploit differences in the entropy geometry arising from subdynamics and a form of Abramov-Rokhlin formula for half-space entropies.",

author = "Manfred Einsiedler and Thomas Ward",

year = "2005",

doi = "10.1515/crll.2005.2005.584.195",

language = "English",

volume = "2005",

pages = "195--214",

journal = "Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)",

issn = "0075-4102",

number = "584",

}

TY - JOUR

T1 - Entropy geometry and disjointness for zero-dimensional algebraic actions

AU - Einsiedler, Manfred

AU - Ward, Thomas

PY - 2005

Y1 - 2005

N2 - We show that many algebraic actions of higher-rank abelian groups on zero-dimensional compact abelian groups are mutually disjoint. The proofs exploit differences in the entropy geometry arising from subdynamics and a form of Abramov-Rokhlin formula for half-space entropies.

AB - We show that many algebraic actions of higher-rank abelian groups on zero-dimensional compact abelian groups are mutually disjoint. The proofs exploit differences in the entropy geometry arising from subdynamics and a form of Abramov-Rokhlin formula for half-space entropies.

U2 - 10.1515/crll.2005.2005.584.195

DO - 10.1515/crll.2005.2005.584.195

M3 - Article

VL - 2005

SP - 195

EP - 214

JO - Journal für die reine und angewandte Mathematik (Crelles Journal)

JF - Journal für die reine und angewandte Mathematik (Crelles Journal)

SN - 0075-4102

IS - 584

ER -