Mathematics – Operator Algebras
Scientific paper
2006-11-08
Mathematics
Operator Algebras
46 pages
Scientific paper
In previous work we generalised both the odd and even local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von Neumann algebra. Our proofs are novel even in the setting of the original theorem and rely on the introduction of a function valued cocycle (called the resolvent cocycle) which is `almost' a (b,B)-cocycle in the cyclic cohomology of \A. In this paper we show that this resolvent cocycle `almost' represents the Chern character, and assuming analytic continuation properties for zeta functions, we show that the associated residue cocycle, which appears in our statement of the local index theorem does represent the Chern character.
Carey Alan L.
Phillips John
Rennie Adam
Sukochev Fyodor A.
No associations
LandOfFree
The Chern Character of Semifinite Spectral Triples does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Chern Character of Semifinite Spectral Triples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Chern Character of Semifinite Spectral Triples will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-625691