Bowen-Franks groups as conjugacy invariants for $\mathbb{T}^{n}$ automorphisms
Dynamical Systems
2007-05-23 v1
Abstract
The role of generalized Bowen-Franks groups (BF-groups) as topological conjugacy invariants for automorphisms is studied. Using algebraic number theory, a link is established between equality of BF-groups for different automorphisms (-equivalence) and an identical position in a finite lattice (-equivalence). Important cases of equivalence of the two conditions are proved. Finally, a topological interpretation of the classical BF-group in this context is presented.
Cite
@article{arxiv.math/0303185,
title = {Bowen-Franks groups as conjugacy invariants for $\mathbb{T}^{n}$ automorphisms},
author = {P. Martins Rodrigues and J. Sousa Ramos},
journal= {arXiv preprint arXiv:math/0303185},
year = {2007}
}
Comments
15 pages