Baum-Connes and the Fourier-Mukai transform

DOI10.1215/00192082-9725548zbMath1496.46072arXiv2001.06124OpenAlexW4210811490MaRDI QIDQ2135638

Daniel Hudson, Heath Emerson

Publication date: 9 May 2022

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06124

zbMATH Keywords

KK-theoryBaum-Connes map

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) Kasparov theory ((KK)-theory) (19K35)

Cites Work

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• Poincaré duality and Langlands duality for extended affine Weyl groups
• The Baum-Connes conjecture via localisation of categories
• The longitudinal index theorem for foliations
• Equivariant embedding theorems and topological index maps
• Bivariant K-theory via correspondences
• The class of a fibre in noncommutative geometry
• Non-commutative tori and Fourier–Mukai duality

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