Content Types Subjects more options Athens Authentication Point Recognized as: Universidad Complutense de Madrid (100-84-226) 597546 Consorcio Madrono Spain (496-69-451) 3708 CSIC (719-53-613) 4180 Madrid Consortium E- book Series Spain (544-51-257) Welcome! To use the personalized features of this site, please log in or register. If you have forgotten your username or password, we can help. My SpringerLink Marked Items Alerts Order History Saved Items All Favorites English The Local Index Formula for SU q (2) Journal K-Theory Publisher Springer Netherlands ISSN 0920-3036 (Print) 1573-0514 (Online) Subject Mathematics and Statistics Issue Volume 35, Numbers 3-4 / August, 2005 DOI 10.1007/s10977-005-3116-4 Pages 375-394 SpringerLink Date Tuesday, June 06, 2006 Add to marked items Add to shopping cart Add to saved items Request Permissions Recommend this article Walter Van Suijlekom1 , Ludwik Dabrowski1, Giovanni Landi2, Andrzej Sitarz3 and Joseph C. Várilly4 (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. Keywords noncommutative geometry - spectral triple - quantum SU(2) Keywords Mathematics Subject classification (2000) - primary 58B34 - secondary 17B37 (Received: January 2005) Walter Van Suijlekom Email: wdvslkom@sissa.it References 1. Carey, A.L., Phillips, J., Rennie, A., Sukochev, F.A. (2004) "The Hochschild class of the Chern character for semifinite spectral triples" J. Funct. Anal. 213: 111-153 2. Chakraborty, P.S., Pal, A. (2003) "Equivariant spectral triples on the quantum SU(2) group" K-Theory 28: 107-126 3. Chakraborty, P. S. and Pal, A.: On equivariant Dirac operators Find ... Go Within all content Within this journal Within this issue Export this article Export this article as RIS | Text Text PDF The size of this document is 196 kilobytes. Although it may be a lengthier download, this is the most authoritative online format. Open: Entire document Referenced by 1 newer article 1. Back to: All Journals \ Journal \ Journal Issue Previous Article Next Article Journal Article Harikumar, E (2007) The index theorem for the q-deformed fuzzy sphere. 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Connes, A.: Noncommutative geometry, Academic Press, London and San Diego, 1994. 5. Connes, A. (2004) "Cyclic cohomology, quantum group symmetries and the local index formula for SUq(2)" J. Inst. Math. Jussieu 3: 17-68 6. Connes, A.: Cyclic cohomology, noncommutative geometry and quantum group symmetries, In: S. Doplicher and R. Longo (eds.), Noncommutative geometry, Lecture Notes in Mathematics 1831, Springer, Berlin, 2004. 7. Connes, A., Moscovici, H. (1995) "The local index formula in noncommutative geometry" Geom. Funct. Anal. 5: 174-243 8. Dabrowski, L., Landi, G., Sitarz, A., Suijlekom, W., Várilly, J. C. (2005) "The Dirac operator on SUq(2)" Commun. Math. Phys. 259: 729-759 9. Gracia-Bondía J.M., Várilly J.C. and Figueroa H. Elements of noncommutative geometry, Birkhäuser, Boston, 2001. 10. Masuda, T., Nakagami, Y., Watanabe, J. (1990) "Noncommutative differential geometry on the quantum SU(2), I: An algebraic viewpoint" K-Theory 4: 157-180 11. Podleś, P. (1987) "Quantum spheres" Lett. Math. 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