Ellis group and the topological center of the flow generated by the map \(n\mapsto\lambda^{n^k}\).

DOI10.1007/S00032-010-0132-5zbMath1238.37002OpenAlexW1965774711MaRDI QIDQ720026

Ali Jabbari, Isaac Namioka

Publication date: 13 October 2011

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-010-0132-5

zbMATH Keywords

topological centerEllis groupdistal and minimal dynamical system

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (8)

A family of distal functions and multipliers for strict ergodicity ⋮ The topological centre of skew product dynamical systems ⋮ Enveloping semigroups and quasi-discrete spectrum ⋮ Furstenberg-Ellis-Namioka structure theorem on a CHART group ⋮ On a problem concerning the Banach algebra generated by the maps \(n\mapsto\lambda^{\binom{n}{k}}\) ⋮ The topological center of the spectrum of some distal algebras ⋮ On the Ellis group of a class of distal groups and a problem by Milnes ⋮ The topological center of the spectrum of the algebra generated by the maps \(\exp q(t)\)

Cites Work

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• The Second Dual of the Group Algebra of a Compact Group
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• Haar Measure for Compact Right Topological Groups
• Locally Compact Groups, Invariant Means and the Centres of Compactifications
• Distal Functions on Groups
• Strict Ergodicity and Transformation of the Torus
• The Structure of Distal Flows

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