On C-0-centralizers of Anosov diffeomorphisms on the torus: algebraic and topological aspects

• Tipo: Artigo em Revista Científica Internacional
• Data: 2022

Autores

Jorge Rocha (Autor) FCUP; Varandas, P (Autor) FCUP

Revista

Título: Fundamenta Mathematicae

Vol. 258

Páginas: 1-24

ISSN: 0016-2736

Editora: POLSKA AKADEMIA NAUK

Indexação

ISI Web of Knowledge - 0 Citações

Scopus

Outras Informações

ID Authenticus: P-00W-M8A

DOI: 10.4064/fm969-10-2020

Abstract (EN): Anosov diffeomorphisms on T-d are well known to be topologically conjugate to hyperbolic automorphisms induced by integer valued matrices. We show that in general the internal algebraic structures of the centralizers of such hyperbolic matrices, in the multiplicative group of all integer matrices with determinant +/- 1, are not sufficient to determine the matrix centralizers of the automorphisms and, ultimately, the C-0-centralizers of the original Anosov diffeomorphisms. We also obtain necessary and sufficient conditions, relying on entropy sequences, for the centralizer to be elementary.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 24