Bowen-Franks groups as conjugacy invariants for Tⁿ automorphisms
Rodrigues, P. Martins · Ramos, J. Sousa
Original · EN
The role of generalized Bowen-Franks groups (BF-groups) as topological conjugacy invariants for Tⁿ 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 (L-equivalence). Important cases of equivalence of the two conditions are proved. Finally, a topological interpretation of the classical BF-group Z% ⁿ/Zⁿ(I-A) in this context is presented.
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