Non-stationarity of isomorphism between AF algebras defined by stationary Bratteli diagrams

Details Non-stationarity of isomorphism between AF algebras defined by stationary Bratteli diagrams Non-stationarity of isomorphism between AF algebras defined by stationary Bratteli diagrams

1999-04-30

arxiv.org/abs/math/9904177v1

Ergodic Theory and Dyn. Sys. 20 (2000),1639-1656

Mathematics

Operator Algebras

16 pages

Scientific paper

We first study situations where the stable AF-algebras defined by two square primitive nonsingular incidence matrices with nonnegative integer matrix elements are isomorphic even though no powers of the associated automorphisms of the corresponding dimension groups are isomorphic. More generally we consider neccessary and sufficient conditions for two such matrices to determine isomorphic dimension groups. We give several examples.

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