Rank-two Graphs Whose C∗-algebras Are Direct Limits of Circle Algebras
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چکیده
We describe a class of rank-2 graphs whose C∗-algebras are AT algebras. For a subclass which we call rank-2 Bratteli diagrams, we compute the K-theory of the C∗-algebra. We identify rank-2 Bratteli diagrams whose C∗-algebras are simple and have real-rank zero, and characterise the K-invariants achieved by such algebras. We give examples of rank-2 Bratteli diagrams whose C∗-algebras contain as full corners the irrational rotation algebras and the Bunce-Deddens algebras.
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تاریخ انتشار 2005