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

DOI10.1016/j.geomphys.2019.103591zbMath1445.19004OpenAlexW2998165300MaRDI QIDQ2173820

Doman Takata

Publication date: 17 April 2020

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2019.103591

zbMATH Keywords

Dirac operatorsloop groupsindex theoryassembly mapsinfinite-dimensional manifolds\( K K\)-theory

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Exotic index theories on manifolds (58J22) Kasparov theory ((KK)-theory) (19K35) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56)

Related Items

Geometric \(K\)-homology and the Freed-Hopkins-Teleman theorem, Deformation of Dirac operators along orbits and quantization of noncompact Hamiltonian torus manifolds, Quantization of Hamiltonian loop group spaces

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