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Introduction to the BaumConnes ConjectureChecking availability... 
Introduction to the BaumConnes Conjecture by Alain ValetteBook Description A quick description of the conjecture The BaumConnes conjecture is part of Alain Connes'tantalizing "noncommuta tive geometry" programme [18]. 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 BaumConnes conjecture identifies two objects associated with r, one analytical and one geometrical/topological. The righthand side of the conjecture, or analytical side, involves the K theory of the reduced C*algebra c;r, which is the C*algebra generated by r in 2 its left regular representation on the Hilbert space C(r). The Ktheory used here, Ki(C;r) for i = 0, 1, is the usual topological Ktheory for Banach algebras, as described e.g. in [85]. The lefthand side of the conjecture, or geometrical/topological side RKf(Er) (i=O,I), is the requivariant Khomology with rcompact supports of the classifying space Er for proper actions of r. If r is torsionfree, this is the same as the Khomology (with compact supports) of the classifying space Br (or K(r,l) EilenbergMac Lane space). This can be defined purely homotopically.Buy Introduction to the BaumConnes Conjecture book by Alain Valette from Australia's Online Bookstore, Boomerang Books. Book Details ISBN: 9783764367060ISBN10: 3764367067
(244mm x 170mm x 6mm) Pages: 114 Imprint: Birkhauser Verlag AG Publisher: Birkhauser Verlag AG Publish Date: 1Apr2002 Country of Publication: Switzerland 

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A selfcontained treatment of expander graphs which are important in computer science, engineering and mathematics. Reviews» Have you read this book? We'd like to know what you think about it  write a review about Introduction to the BaumConnes Conjecture book by Alain Valette and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member  it's free to sign up!) 