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arXiv · 1204.5376

Suspensions of Bernoulli shifts

Alvaro Lozano-Rojo·Olga Lukina
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Abstract

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 realised 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.

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Alvaro Lozano-Rojo, Olga Lukina. 2013-07-21. Suspensions of Bernoulli shifts. https://arxiv.org/abs/1204.5376

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