The Bernstein-Gelfand-Gelfand complex and Kasparov theory for \(SL(3,\mathbb C)\)

DOI10.1016/j.aim.2010.08.008zbMath1215.19003arXiv0802.2094OpenAlexW2963509124MaRDI QIDQ616891

Robert Yuncken

Publication date: 12 January 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2094

zbMATH Keywords

index theory\(KK\)-theoryBaum-Connes conjecture

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56)

Related Items (4)

Products of longitudinal pseudodifferential operators on flag varieties ⋮ Foliation \(C^\ast\)-algebras on multiply fibred manifolds ⋮ The Baum–Connes conjecture: an extended survey ⋮ Graded hypoellipticity of BGG sequences

Cites Work

• Products of longitudinal pseudodifferential operators on flag varieties
• A reinforcement of property (T)
• Equivariant KK-theory and the Novikov conjecture
• The Baum-Connes conjecture
• Bivariant \(K\)-theory for Banach algebras and the Baum-Connes conjecture
• The Baum-Connes conjecture with coefficients for the group \(\text{Sp}(n,1)\)
• The index of elliptic operators. IV, V
• Gelfand–Tsetlin Bases for Classical Lie Algebras
• Finitely summable Fredholm modules over higher rank groups and lattices
• Bernstein-Gelfand-Gelfand sequences
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