Titlebook: Introduction to the Baum-Connes Conjecture; Alain Valette Book 2002 Springer Basel AG 2002 Algebraic topology.K-theory.Non-commutative geo

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What is the Baum-Connes Conjecture?,Let . be a finite simplicial complex, connected and aspherical (for each .) and .. Then . is a classifying space for Γ (or Eilenberg-Mac Lane K(Γ, 1) space). In particular such an . is unique up to homotopy. Note that, under these assumptions Γ is torsion free.

PSA-velocity

cancer

The Classifying Space for Proper Actions, and its Equivariant ,-homology,Let . be a Hausdorff space on which Γ acts by homeomorphisms.

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,Kasparov’s Equivariant ,-theory,In a series of papers [45] [46] [47] [50] from 1980 to 1988, G. Kasparov defined an . for pairs of C*-algebras, a powerful machinery to deal both with .-theory and .-homology of C*-algebras.

glamor

Some Examples of the Assembly Map,Let Γ denote a countable group. Consider the following diagram:.where . = 0,1 and .Γ is as in Theorem 4.2.12.

售穴

A Glimpse into Non-commutative Geometry: Property (RD),A . on a group Γ is a function .Γ→.. such that:

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