Parallelizability of proper actions, global K-slices and maximal compact subgroups

DOI10.1007/BF01343976zbMath0276.57019MaRDI QIDQ1393763

Herbert Abels

Publication date: 1974

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182752

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) General properties and structure of locally compact groups (22D05) Fiber spaces in algebraic topology (55R05) Noncompact Lie groups of transformations (57S20)

Related Items (47)

Orbit spaces of proper equivariant absolute extensors ⋮ Metrizability of proper \(G\)-spaces and their orbit spaces ⋮ Some open problems in equivariant infinite-dimensional topology ⋮ Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary ⋮ An index theorem for higher orbital integrals ⋮ West’s problem on equivariant hyperspaces and Banach-Mazur compacta ⋮ Equivariant Callias index theory via coarse geometry ⋮ Equivariant holomorphic extensions of real analytic manifolds ⋮ An equivariant index for proper actions. I ⋮ An equivariant index for proper actions. III: The invariant and discrete series indices ⋮ The Banach--Mazur compactum \(BM(2)\) is homeomorphic to the orbit space (exp\(S^{1})/O(2)\) ⋮ Positive scalar curvature and Poincaré duality for proper actions ⋮ Uniformly proper actions ⋮ Equivariant embeddings of metrizable proper \(G\)-spaces ⋮ Asymptotic invariants of lattices in locally compact groups ⋮ Universal G-spaces for proper actions of locally compact groups ⋮ Linearization of proper actions of locally compact groups on Tychonoff spaces ⋮ Riemannian foliations and geometric quantization ⋮ Proper Equivariant Stable Homotopy Theory ⋮ Burghelea conjecture and asymptotic dimension of groups ⋮ The Zak transform on strongly proper G-spaces and its applications ⋮ Divisible convex sets. II ⋮ The Connes-Kasparov conjecture for almost connected groups and for liner \(p\)-adic groups ⋮ Integration of local actions on holomorphic fiber spaces ⋮ The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups ⋮ Positive scalar curvature and an equivariant Callias-type index theorem for proper actions ⋮ A hyperspace of convex bodies arising from tensor norms ⋮ Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory ⋮ Orbit spaces and unions of equivariant absolute neighborhood extensors ⋮ Proper actions on topological groups: Applications to quotient spaces ⋮ Dimension of proper \(G\)-spaces ⋮ Quotient varieties ⋮ Universal proper \(G\)-spaces ⋮ Higher genera for proper actions of Lie groups ⋮ The ring structure of twisted equivariant \(KK\)-theory for noncompact Lie groups ⋮ Universal metric proper \(G\)-spaces ⋮ Spin-structures and proper group actions ⋮ Equivariant representable K-theory ⋮ Unnamed Item ⋮ The Baum-Connes conjecture for KK-theory ⋮ Linearization of proper group actions ⋮ Witten genus and elliptic genera for proper actions ⋮ Orbital integrals and \(K\)-theory classes ⋮ Coarse geometry and Callias quantisation ⋮ On the existence of global Nash slices ⋮ Extending equivariant maps into spaces with convex structure ⋮ Proper actions on cohomology manifolds

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