Minimal models for $ℤ^{d}$-actions

Bartosz Frej; Agata Kwaśnicka

Minimal models for

ℤ^{d}

-actions

Bartosz Frej ; Agata Kwaśnicka

Colloquium Mathematicae, Tome 111 (2008), p. 461-476 / Harvested from The Polish Digital Mathematics Library

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Résumé

We prove that on a metrizable, compact, zero-dimensional space every $ℤ^{d}$ -action with no periodic points is measurably isomorphic to a minimal $ℤ^{d}$ -action with the same, i.e. affinely homeomorphic, simplex of measures.

Publié le : 2008-01-01

Zbl 1144.28007

EUDML-ID : urn:eudml:doc:284263

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     title = {Minimal models for $$\mathbb{Z}$^{d}$-actions},
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     volume = {111},
     year = {2008},
     pages = {461-476},
     zbl = {1144.28007},
     language = {en},
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Bartosz Frej; Agata Kwaśnicka. Minimal models for $ℤ^{d}$-actions. Colloquium Mathematicae, Tome 111 (2008) pp. 461-476. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-9/