The resolvent cocycle in twisted cyclic cohomology and a local index formula for the Podleś sphere

DOI10.4171/JNCG/147zbMath1295.19003arXiv1111.5862MaRDI QIDQ2450773

Roger Senior, Adam Rennie

Publication date: 16 May 2014

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

Full work available at URL: https://arxiv.org/abs/1111.5862

zbMATH Keywords

von Neumann algebra\(q\)-deformationsPodleś sphereequivariant \(K\)-theorycyclic cohomologyindex theoryspectral tripleKasparov theorymodular automorphism group

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56)

Related Items (7)

Crossed product extensions of spectral triples ⋮ A Dolbeault-Dirac spectral triple for the \(B_2\)-irreducible quantum flag manifold ⋮ A modular spectral triple for \(\kappa\)-Minkowski space ⋮ A twisted spectral triple for quantum \(SU(2)\) ⋮ Constructing KMS states from infinite-dimensional spectral triples ⋮ The Podleś sphere as a spectral metric space ⋮ Untwisting twisted spectral triples

Cites Work

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