Bowen-Franks groups as conjugacy invariants for $\mathbb{T}^{n}$ automorphisms

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dc.creatorRodrigues, P. Martins
dc.creatorRamos, J. Sousa
dc.date2003-03-15
dc.date.accessioned2026-07-07T04:56:04Z
dc.date.available2026-07-07T04:56:04Z
dc.descriptionThe role of generalized Bowen-Franks groups (BF-groups) as topological conjugacy invariants for $\mathbb{T}^{n}$ automorphisms is studied. Using algebraic number theory, a link is established between equality of BF-groups for different automorphisms ($BF$-equivalence) and an identical position in a finite lattice ($\mathcal{L}$-equivalence). Important cases of equivalence of the two conditions are proved. Finally, a topological interpretation of the classical BF-group $\mathbb{Z}% ^{n}/\mathbb{Z}^{n}(I-A)$ in this context is presented.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0303185
dc.identifierhttp://arxiv.org/abs/math/0303185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66795
dc.subjectDynamical Systems
dc.subject37C15; 37C25; 15A36; 11R04
dc.titleBowen-Franks groups as conjugacy invariants for $\mathbb{T}^{n}$ automorphisms
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