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arXiv · 1305.1554

Enveloping semigroups of systems of order d

Sebastián Donoso
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Abstract

In this paper we study the Ellis semigroup of a d-step nilsystem and the inverse limit of such systems. By using the machinery of cubes developed by Host, Kra and Maass, we prove that such a system has a d-step topologically nilpotent enveloping semigroup. In the case d=2, we prove that these notions are equivalent, extending a previous result by Glasner.

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Sebastián Donoso. 2013-05-07. Enveloping semigroups of systems of order d. https://arxiv.org/abs/1305.1554

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