The Hochschild class of the Chern character for semifinite spectral triples

By Alan L. Carey, J. Phillips, A. Rennie, Fedor Sukochev. 2003

68 citations recorded by the source corpus.

Abstract We provide a proof of Connes’ formula for a representative of the Hochschild class of the Chern character for ( p ,∞)-summable spectral triples. Our proof is valid for all semifinite von Neumann algebras, and all integral p ⩾1. We employ the minimum possible hypotheses on the spectral triples.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/88a690b49f631a62d64defea480033c65a6f37e4

How researchers see this paper

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In Applied Mathematics

1. Fedor Sukochev
2. A. Rennie
3. Alan L. Carey
4. P. Dodds
5. Nurulla Azamov
6. R. Nest
7. Sergey Neshveyev

In Mathematical Physics

1. Alan L. Carey
2. Fedor Sukochev
3. A. Rennie
4. P. Dodds
5. Nurulla Azamov
6. R. Nest
7. Sergey Neshveyev
8. David Pask

Citations in the corpus

• Twisted cyclic theory, equivariant KK-theory and KMS states (2008, background): “Our main reference for the analytic part of these ideas is [7], however there is more background in [4, 10, 11, 12].”
• Operator Integrals, Spectral Shift, and Spectral Flow (2007, background): “We recall the definition of a semifinite spectral triple (see e.g. [ 10 ]).”