Enveloping semigroups of systems of order d

2013/05/07 by Donoso, Sebastián · 1 citation
#37BXX #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1305.1554

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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