Geometric $K$-theory for Lie groups and foliations

Publication date: 30 January 2001

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Lie groups vector bundles group actions $K$-theory elliptic operators Novikov conjecture foliations Chern character Baum-Connes conjecture Atiyah-Singer index theorem Gysin map Thom isomorphism C*-algebras cross-product C*-algebras group 2-cocycles

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Index theory and related fixed-point theorems on manifolds (58J20) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56)

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Geometric \(K\)-theory for Lie groups and foliations