Geometric \(K\)-homology and the Freed-Hopkins-Teleman theorem

DOI10.4171/JNCG/447zbMath1490.19012arXiv1804.05213OpenAlexW4213302611MaRDI QIDQ2140247

Yiannis Loizides

Publication date: 20 May 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05213

zbMATH Keywords

loop groups\(KK\)-theorytwisted \(K\)-theorycompact Lie groupsanalytic assembly map

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items (2)

Quantization of Hamiltonian loop group spaces ⋮ Norm-square localization and the quantization of Hamiltonian loop group spaces

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
• Elliptic and transversally elliptic index theory from the viewpoint of \(KK\)-theory
• Norm-square localization for Hamiltonian \(L G\)-spaces
• Structure and \(K\)-theory of crossed products by proper actions
• Loop groups and twisted \(K\)-theory. III
• The \(KK\)-product of unbounded modules
• On the equivalence of geometric and analytic \(K\)-homology
• Equivariant KK-theory and the Novikov conjecture
• Lie group valued moment maps
• Hamiltonian loop group actions and Verlinde factorization
• Positive energy representations of the loop groups of non-simply connected Lie groups
• \(LT\)-equivariant index from the viewpoint of \(KK\)-theory. A global analysis on the infinite-dimensional Heisenberg group
• Spinor modules for Hamiltonian loop group spaces
• On the quantization of conjugacy classes
• Norm-square localization and the quantization of Hamiltonian loop group spaces
• An analytic \(LT\)-equivariant index and noncommutative geometry
• \(K\)-theory for group \(C^*\)-algebras and semigroup \(C^*\)-algebras
• Quantization of Hamiltonian loop group spaces
• Graded Brauer groups and K-theory with local coefficients
• \(L^2\)-index theorems, KK-theory, and connections
• Geometric Baum-Connes assembly map for twisted Differentiable Stacks
• Twisted K-theory of differentiable stacks
• Loop groups and twisted K -theory I
• Dirac Structures and Dixmier–Douady Bundles
• Prequantization of Quasi-Hamiltonian spaces
• Thom isomorphism and push-forward map in twisted K-theory
• Twisted $K$-theory and Poincaré duality
• Actions of finite groups on $C^*$-algebras.
• TWISTED INDEX THEORY ON GOOD ORBIFOLDS, I: NONCOMMUTATIVE BLOCH THEORY
• Twisted K-Homology and Group-Valued Moment Maps
• Loop groups and twisted $K$-theory II
• Lectures on group-valued moment maps and Verlinde formulas
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• K-cycles for twisted K-homology

This page was built for publication: Geometric \(K\)-homology and the Freed-Hopkins-Teleman theorem