On the structure of the ring of continuous functions on spaces with \(p\)-adic group of transformations

DOI10.1016/j.topol.2011.04.033zbMath1258.46011OpenAlexW2089109469MaRDI QIDQ409722

A. V. Zarelua

Publication date: 13 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.04.033

zbMATH Keywords

\(p\)-adic numbersconvolution of functionsintegral closureperiodic functionscharacter of a groupring of functions

Mathematics Subject Classification ID

Rings and algebras of continuous, differentiable or analytic functions (46E25) (p)-adic theory (11E95) Analysis on specific locally compact and other abelian groups (43A70)

Cites Work

• A proof of the Hilbert-Smith conjecture for actions by Lipschitz maps
• Hausdorff dimension and the dynamics of diffeomorphisms
• The Hilbert-Smith conjecture for Hölder actions
• On rings of continuous funtions and the dimension of compact
• A theorem on the Lebesgue dimension
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