Titre : | C*-algebras of homoclinic and heteroclinic structure in expansive dynamics | Type de document : | texte imprimé | Auteurs : | Klaus THOMSEN, Auteur | Editeur : | Providence, R. I. [Etats Unis] : American Mathematical Society | Année de publication : | cop. 2010 | Collection : | Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 970 | Importance : | X-122 p. | ISBN/ISSN/EAN : | 978-0-8218-4692-6 | Langues : | Anglais (eng) | Catégories : | 37D20 46L35
| Mots-clés : | C*-algèbre | Résumé : | We unify various constructions of C*-algebras from dynamical systems, specifically, the dimension group construction of Krieger for shift spaces, the corresponding constructions of Wagoner and Boyle, Fiebig and Fiebig for countable state Markov shifts and one-sided shift spaces, respectively, and the constructions of Ruelle and Putnam for Smale spaces. The general setup is used to analyze the structure of the C*algebras arising from the homoclinic and heteroclinic equivalence relations in expansive dynamical systems; in particular expansive group endomorphisms and automorphisms, and generalized 1-solenoids. For these dynamical systems it is shown that the C*-algebras are inductive limits of homogeneous or sub-homogeneous algebras with one-dimensional spectra.
| Note de contenu : | bibliogr. |
C*-algebras of homoclinic and heteroclinic structure in expansive dynamics [texte imprimé] / Klaus THOMSEN, Auteur . - American Mathematical Society, cop. 2010 . - X-122 p.. - ( Memoirs of the American Mathematical Society, ISSN 0065-9266; 970) . ISBN : 978-0-8218-4692-6 Langues : Anglais ( eng) Catégories : | 37D20 46L35
| Mots-clés : | C*-algèbre | Résumé : | We unify various constructions of C*-algebras from dynamical systems, specifically, the dimension group construction of Krieger for shift spaces, the corresponding constructions of Wagoner and Boyle, Fiebig and Fiebig for countable state Markov shifts and one-sided shift spaces, respectively, and the constructions of Ruelle and Putnam for Smale spaces. The general setup is used to analyze the structure of the C*algebras arising from the homoclinic and heteroclinic equivalence relations in expansive dynamical systems; in particular expansive group endomorphisms and automorphisms, and generalized 1-solenoids. For these dynamical systems it is shown that the C*-algebras are inductive limits of homogeneous or sub-homogeneous algebras with one-dimensional spectra.
| Note de contenu : | bibliogr. |
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