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eBook Introduction to the Baum-Connes Conjecture (Lectures in Mathematics Eth Zurich) download

by Alain Valette

eBook Introduction to the Baum-Connes Conjecture (Lectures in Mathematics Eth Zurich) download ISBN: 0817667067
Author: Alain Valette
Publisher: Birkhauser (May 1, 2002)
Language: English
ePub: 1401 kb
Fb2: 1215 kb
Rating: 4.9
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Category: Math Sciences
Subcategory: Mathematics

Basel; Boston ; Berlin : Birkhäuser, 2002

Alain Valette Introduction to the Baum-Connes Conjecture. Basel; Boston ; Berlin : Birkhäuser, 2002. Lectures in mathematics : ETH Zürich) ISBN 3-7643-6706-7.

The Baum-Connes conjecture is part of A. Connes' non-commutative geometry programme. It presents, for the first time in book form, an introduction to the Baum-Connes conjecture. It can be viewed as a conjectural generalisation of the Atiyah-Singer index theorem, to the equivariant setting (the ambient manifold is not compact, but some compactness is restored by means of a proper, co-compact action of a group "gamma"). The Baum-Connes conjecture implies several other classical conjectures, ranging from differential topology to pure algebra. It starts by defining carefully the objects in both sides of the conjecture, then the assembly map which connects them.

THE Soal-Goldney card-guessing experiments with the subject Shackleton consisted of forty sittings conducted between 1941 and 43 under the direction of S. G. Soal, then a lecturer in mathematics at the University of London1. Elaborate precautions were taken against error and fraud. Many independent witnesses were called in.

Introduction to the Baum-Connes Conjecture.

These seminars are directed to an audience of many levels and backgrounds. Now some of the most successful lectures are being published for a wider audience through the Lectures in Mathematics, ETH Zürich series. Introduction to the Baum-Connes Conjecture.

Volume 35 Issue 4. Introduction to the baum–connes. Abstract views reflect the number of visits to the article landing page. Bulletin of the London Mathematical Society.

Overall, the book is a very valuable addition to the literature on the Baum-Connes conjecture

Overall, the book is a very valuable addition to the literature on the Baum-Connes conjecture. Series: Lectures in Mathematics.

The Baum-Connes conjecture identifies two objects associated with r, one analytic A quick description of the conjecture The Baum-Connes conjecture is part of Alain Connes'tantalizing "noncommuta tive geometry" programme. It is in some sense the most "commutative" part of this programme, since it bridges with classical geometry and topology. Let r be a countable group. The Baum-Connes conjecture identifies two objects associated with r, one analytical and one cal.

Introduction to. the Baum-Connes Conjecture. From notes taken by Indira CHATTERJI With an Appendix by Guido MISLIN. The Baum-Connes conjecture is part of Alain Connes’tantalizing noncommutative geometry programme. It is in some sense the most commutative part of this programme, since it bridges with clas-sical geometry and topology.

The Baum-Connes conjecture is part of A. Connes' non-commutative geometry programme. It can be viewed as a conjectural generalisation of the Atiyah-Singer index theorem, to the equivariant setting (the ambient manifold is not compact, but some compactness is restored by means of a proper, co-compact action of a group "gamma" ). Like the Atiyah-Singer theorem, the Baum-Connes conjecture states that a purely topological object coincides with a purely analytical one. For a given group "gamma", the topological object is the equivariant K-homology of the classifying space for proper actions of "gamma", while the analytical object is the K-theory of the C*-algebra associated with "gamma" in its regular representation. The Baum-Connes conjecture implies several other classical conjectures, ranging from differential topology to pure algebra. It has also strong connections with geometric group theory, as the proof of the conjecture for a given group "gamma" usually depends heavily on geometric properties of "gamma". This book is intended for graduate students and researchers in geometry (commutative or not), group theory, algebraic topology, harmonic analysis, and operator algebras. It presents, for the first time in book form, an introduction to the Baum-Connes conjecture. It starts by defining carefully the objects in both sides of the conjecture, then the assembly map which connects them. Thereafter it illustrates the main tool to attack the conjecture (Kasparov's theory), and it concludes with a rough sketch of V. Lafforgue's proof of the conjecture for co-compact lattices in in Spn1, SL (3R), and SL (3C).