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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Centralizers of expanding maps on the circle


Author: Carlos Arteaga
Journal: Proc. Amer. Math. Soc. 114 (1992), 263-267
MSC: Primary 58D10; Secondary 54H20
DOI: https://doi.org/10.1090/S0002-9939-1992-1070509-4
MathSciNet review: 1070509
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Abstract: We prove here that the elements of an open and dense subset of expanding maps on the circle have trivial centralizers; i.e., the maps commute only with their own powers. Using a theorem proved in [1], we deduce that the result is also true for an open and dense subset of immersions of $ {S^1}$.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1070509-4
Keywords: Expanding maps, centralizer, trivial centralizer
Article copyright: © Copyright 1992 American Mathematical Society