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

Ola Bratteli; Palle E.T Jørgensen; Ki Hang Kim; Fred Roush

doi:10.1017/S0143385700000912

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

Journal article

Peer reviewed

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

Ola Bratteli, Palle E.T Jørgensen, Ki Hang Kim and Fred Roush

Ergodic theory and dynamical systems, Vol.20(6), pp.1639-1656

2000

DOI: 10.1017/S0143385700000912

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Abstract

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

Details

Title: Subtitle: Non-stationarity of isomorphism between AF algebras defined by stationary Bratteli diagrams
Creators: Ola Bratteli
Palle E.T Jørgensen
Ki Hang Kim
Fred Roush
Resource Type: Journal article
Publication Details: Ergodic theory and dynamical systems, Vol.20(6), pp.1639-1656
DOI: 10.1017/S0143385700000912
ISSN: 0143-3857
eISSN: 1469-4417
Language: English
Date published: 2000
Academic Unit: Mathematics
Record Identifier: 9983985700402771

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