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The Local Index Formula for SU q (2) |
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| Affiliation: | (1) Scuola Internazionale Superiore di Studi Avanzati, Via Beirut 2-4, 34014 Trieste, Italy;(2) Dipartimento di Matematica e Informatica, Università di Trieste, Via Valerio 12/1, 34127 Trieste and INFN, Sezione di Napoli, Napoli, Italy;(3) Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland;(4) Departamento de Matemática, Universidad de Costa Rica, 2060 San José, Costa Rica |
| Abstract: | We discuss the local index formula of Connes–Moscovici for the isospectral noncommutative geometry that we have recently constructed on quantum SU(2). We work out the cosphere bundle and the dimension spectrum as well as the local cyclic cocycles yielding the index formula. (Received: January 2005) |
| Keywords: | noncommutative geometry spectral triple quantum SU(2) |
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