Semifinite Spectral Triples Associated with Graph C-algebras
نویسنده
چکیده
We review the recent construction of semifinite spectral triples for graph C∗algebras. These examples have inspired many other developments and we review some of these such as the relation between the semifinite index and the Kasparov product, examples of noncommutative manifolds, and an index theorem in twisted cyclic theory using a KMS state. Alan L. Carey Mathematical Sciences Institute Australian National University Canberra, ACT. 0200, AUSTRALIA e-mail: [email protected] John Phillips Department of Mathematics and Statistics, University of Victoria Victoria, B.C. V8W 3P4, CANADA Adam Rennie Institute for Mathematical Sciences University of Copenhagen Universitetsparken 5, DK-2100, Copenhagen, DENMARK All authors were supported by the Australian Research Council (Australia) while the second author was supported by NSERC (Canada), and the third author by SNF (Denmark).
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