introduction baum connes conjecture von valette alain (4 Ergebnisse)

Softcover. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. R-17300 9783764367060 Sprache: Englisch Gewicht in Gramm: 550.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - A quick description of the conjecture The Baum-Connes 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 Baum-Connes conjecture identifies two objects associated with r, one analytical and one geometrical/topological. The right-hand 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 K-theory used here, Ki(C;r) for i = 0, 1, is the usual topological K-theory for Banach algebras, as described e.g. in [85]. The left-hand side of the conjecture, or geometrical/topological side RKf(Er) (i=O,I), is the r-equivariant K-homology with r-compact supports of the classifying space Er for proper actions of r. If r is torsion-free, this is the same as the K-homology (with compact supports) of the classifying space Br (or K(r,l) Eilenberg-Mac Lane space). This can be defined purely homotopically.

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Paperback. Zustand: Brand New. 1st edition. 104 pages. 9.25x6.75x0.25 inches. In Stock.