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The Hochschild class of the Chern character for semifinite spectral triples |
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| Authors: | Alan L Carey Adam Rennie Fyodor A Sukochev |
| Institution: | a Mathematical Sciences Institute, Australian National University, Canberra, ACT. 0200, Australia b Department of Mathematics and Statistics, University of Victoria, 3800 Finnerty Road, Victoria, B.C., Canada V8W 3P4 c School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW, 2308, Australia d School of Informatics and Engineering, Flinders University, Bedford Park S.A. 5042, Australia |
| 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. |
| Keywords: | primary: 19K56 46L80 secondary: 58B30 46L87 |
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