Bowen-franks Groups as Conjugacy Invariants for T Automorphisms
نویسنده
چکیده
The role of generalized Bowen-Franks groups (BF-groups) as topological conjugacy invariants for T automorphisms is studied. Using algebraic number theory, a link is established between equality of BFgroups 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/Z(I−A) in this context is presented. Mathematics Subject Classification (2000). 37C15, 37C25, 15A36, 11R04
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