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The noncommutative geometry of graph C*-algebras I: The index theorem

Journal of Functional Analysis, no. 1 (2006): 92-134

Cited: 65|Views23
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Abstract

We investigate conditions on a graph C*-algebra for the existence of a faithful semifinite trace. Using such a trace and the natural gauge action of the circle on the graph algebra, we construct a smooth (1,∞)-summable semi-finite spectral triple. The local index theorem allows us to compute the pairing with K-theory. This produces invari...More

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