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

• Type: Article in International Scientific Journal
• Date: 2022

Authors

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

Journal

Title: Fundamenta Mathematicae

Vol. 258

Pages: 1-24

ISSN: 0016-2736

Publisher: POLSKA AKADEMIA NAUK

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 24