Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593023 | Journal of Functional Analysis | 2006 | 43 Pages |
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 invariants in the K-theory of the fixed point algebra, and these are invariants for a finer structure than the isomorphism class of C*(E).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory