59 research outputs found
Limit C*-algebras associated with an automorphism
We present and study C*-algebras generated by "periodic weighted creation
operators" on the Fock space associated with an automorphism on a
C*-algebra . These algebras can be viewed as generalized Bunce-Deddens
algebras associated with the automorphism and can be written as a certain
direct limit. We prove a crossed product presentation for such an algebra and
find a necessary and sufficient condition for it to be simple. In the case
where the automorphism is induced by an irrational rotation (on
) we compute the K-theory groups and obtain a complete
classification of these algebras.Comment: Latex file, To appear in Math. Scan
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