scientific article; zbMATH DE number 4122635
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Publication:4735642
zbMath0685.46041MaRDI QIDQ4735642
Publication date: 1988
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Baum-Connes conjecturegeometric K-theoryaction of a Lie group on a \(C^{\infty }\)-manifolddiscrete group acting on a pointK-theory of the crossed product \(C^*\)- algebra
(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)
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Cyclic cocycles, renormalization and eta-invariants ⋮ Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras ⋮ Functoriality for higher rho invariants of elliptic operators ⋮ An equivariant noncommutative residue ⋮ Topological \(K\)-theory for discrete groups and index theory ⋮ Approximations of delocalized eta invariants by their finite analogues ⋮ The equivariant coarse Baum-Connes conjecture for metric spaces with proper group actions ⋮ A relative higher index theorem, diffeomorphisms and positive scalar curvature ⋮ Twisted geometric K-homology for proper actions of discrete groups ⋮ The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space ⋮ Higher invariants in noncommutative geometry ⋮ Higher index theory for certain expanders and Gromov monster groups. I ⋮ Matrix algebra of sets and variants of decomposition complexity ⋮ The Higson-Roe exact sequence and \(\ell^2\) eta invariants ⋮ Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture ⋮ The periodic cyclic homology of crossed products of finite type algebras ⋮ The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces ⋮ The Novikov conjecture ⋮ K-theory for the maximal Roe algebra of certain expanders ⋮ Equivariant higher-index problems for proper actions and nonpositively curved manifolds ⋮ Delocalized Chern character for stringy orbifold K-theory
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