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Introduction to the Baum-Connes conjecture
0
Type: Book
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…
Introduction to the Baum-Connes conjecture
0
Type: Book
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…
"This Research Note presents the K-theory and KK-theory for real C*-algebras and shows that these can be successfully applied to solve some topological problems which are not accessible by the tools developed in the complex setting alone." "Included are many explicit computation…
For any pair ([italic]A, [italic]B) of [italic]C*-algebras equipped with continuous actions of a locally compact group [italic]G, denote by [italic]KK[italic exponent]G [over] [subscript]* ([italic]A, [italic]B) the equivariant [italic]KK-groups of Kasparov. These groups play a …
