On the K-Theory of Cuntz–Krieger Algebras | Zendy

David Pask | Zendy; Iain Raeburn | Zendy

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On the K-Theory of Cuntz–Krieger Algebras

Author(s) -

David Pask,

Iain Raeburn

Publication year - 1996

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195162850

Subject(s) - mathematics , pure mathematics , mathematical economics , algebra over a field

We extend the uniqueness and simplicity results of Cuntz and Krieger to the countably infinite case, under a row-finite condition on the matrix A. Then we present a new approach to calculating the K-theory of the Cuntz-Krieger algebras, using the gauge action of T, which also works when A is a countably infinite 0 − 1 matrix. This calculation uses a dual Pimsner-Voiculescu six-term exact sequence for algebras carrying an action of T. Finally, we use these new results to calculate the K-theory of the Doplicher-Roberts algebras.

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