. O A ] 2 1 A pr 1 99 8 VIEWING AF - ALGEBRAS AS GRAPH ALGEBRAS
نویسنده
چکیده
Every AF-algebra A arises as the C *-algebra of a locally finite pointed directed graph in the sense of Kumjian, Pask, Raeburn, and Renault. For AF-algebras, the diagonal subalgebra defined by Strˇatilˇa and Voiculescu is consistent with Kumjian's notion of diagonal, and the groupoid arising from a well-chosen Bratteli diagram for A coincides with Kumjian's twist groupoid constructed from a diagonal of A.
منابع مشابه
ar X iv : m at h / 05 04 42 3 v 1 [ m at h . O A ] 2 1 A pr 2 00 5 NON - SEPARABLE AF - ALGEBRAS
We give two pathological phenomena for non-separable AF-algebras which do not occur for separable AF-algebras. One is that non-separable AFalgebras are not determined by their Bratteli diagrams, and the other is that there exists a non-separable AF-algebra which is prime but not primitive.
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