On \(C^{*}\)-algebras and \(K\)-theory for infinite-dimensional Fredholm manifolds

DOI10.1016/j.topol.2005.09.008zbMath1106.19003arXivmath/0411495OpenAlexW1966021934MaRDI QIDQ2502975

Jody Trout, Dorin Dumitraşcu

Publication date: 13 September 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411495

zbMATH Keywords

\(C^*\)-algebraK-theoryPoincaré dualityK-homologydirect\ limitFredholm\ manifold

Mathematics Subject Classification ID

Noncommutative topology (46L85) Fredholm structures on infinite-dimensional manifolds (58B15) Miscellaneous applications of (K)-theory (19M05) Topological (K)-theory (55N15) Topology of infinite-dimensional manifolds (57N20) Infinite-dimensional manifolds (46T05)

Related Items (1)

\(LT\)-equivariant index from the viewpoint of \(KK\)-theory. A global analysis on the infinite-dimensional Heisenberg group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representable K-theory for \(\sigma\)-C\({}^*\)-algebras
• The longitudinal index theorem for foliations
• The geometry of loop groups
• Equivariant KK-theory and the Novikov conjecture
• Manifolds, tensor analysis, and applications.
• Extensions of \(C^*\)-algebras and \(K\)-homology
• A Bott periodicity theorem for infinite dimensional Euclidean space
• A Thom isomorphism for infinite rank Euclidean bundles
• Smoothness and locality for nonunital spectral triples
• KK-groups for generalized operator algebras. II
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Champs continus d'espaces hilbertiens et de \(C^ *\)-algèbres. II
• The stable homotopy of the classical groups
• The homotopy type of the unitary group of Hilbert space
• Clifford modules
• On the homotopy type of certain groups of operators
• Open embeddings of certain Banach manifolds
• Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
• Pull-Backs of C ∗ -Algebras and Crossed Products by Certain Diagonal Actions
• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
• A Model of the Universal Covering Group of SO(H )₂
• The Homotopy Type of Fredholm Manifolds
• \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space

This page was built for publication: On \(C^{*}\)-algebras and \(K\)-theory for infinite-dimensional Fredholm manifolds