Noncommutative Geometry Alain Connes
CONTENTS 5 Appendix A. Crossed Products of von Neumann Algebras 537 Appendix B. Correspondences 539 Chapter 6. The metric aspect of noncommutative geometry 552
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The Longitudinal Index Theorem for Foliations
www.alainconnes.orgof an immersion, one gets that in all cases the map K(X) →K(Y) given by f! coincides with the classical wrong way map in K-theory. This statement is …
arXiv:hep-th/0605011 v3 20 Jun 2006 - Alain Connes
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Hopf Algebras, Renormalization and …
www.alainconnes.orgarXiv:hep-th/9808042 v1 7 Aug 1998 Hopf Algebras, Renormalization and Noncommutative Geometry Alain CONNES IHES Dirk KREIMER Mainz Univ. August 1998, IHES/M/98/60
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www.alainconnes.orgNONCOMMUTATIVE GEOMETRY AND PHYSICS ALAIN CONNES 1. Introduction The two existing theories which successfully encode our knowledge of space-time are :
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