Suspensions of Bernoulli shifts

Lozano Rojo, Álvaro ; Lukina, Olga

Resumen: We show that for a given finitely generated group, its Bernoulli shift space can be equivariantly embedded as a subset of a space of pointed trees with Gromov–Hausdorff metric and natural partial action of a free group. Since the latter can be realized as a transverse space of a foliated space with leaves Riemannian manifolds, this embedding allows us to obtain a suspension of such Bernoulli shift. By a similar argument, we show that the space of pointed trees is universal for compactly generated expansive pseudogroups of transformations.

Idioma: Inglés

DOI: 10.1080/14689367.2013.828680

Año: 2013

Publicado en: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 28, 4 (2013), 551-566
ISSN: 1468-9367

Factor impacto JCR: 0.381 (2013)

Categ. JCR: MECHANICS rank: 126 / 139 = 0.906 (2013) - Q4 - T3
Categ. JCR: MATHEMATICS, APPLIED rank: 222 / 251 = 0.884 (2013) - Q4 - T3

Tipo y forma: Article (PostPrint)