Semifinite spectral triples associated with graph C*-algebras

Details Semifinite spectral triples associated with graph C*-algebras Semifinite spectral triples associated with graph C*-algebras

2007-07-26

arxiv.org/abs/0707.3853v1

Mathematics

Operator Algebras

to appear in `Traces in Geometry, Number Theory and Quantum Fields', published by Vieweg, eds S. Albeverio, M. Marcolli,

Scientific paper

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.

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