The Gauss-Manin connection for the cyclic homology of smooth deformations, and noncommutative tori

DOI10.4171/JNCG/11-2-5zbMath1382.46057OpenAlexW2733313129MaRDI QIDQ2013495

Allan Yashinski

Publication date: 8 August 2017

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

Full work available at URL: https://doi.org/10.4171/jncg/11-2-5

zbMATH Keywords

Banach algebra\(K\)-theorycyclic homologycyclic cohomologynoncommutative toriChern-Connes pairingGauss-Manin connectionsmooth deformationweak bidimension

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (3)

Smooth crossed products of Rieffel's deformations ⋮ Cyclic cohomology and Chern-Connes pairing of some crossed product algebras ⋮ Tracing cyclic homology pairings under twisting of graded algebras

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