Twisted Homology of Quantum SL(2) - Part II

DOI10.1017/is009009022jkt091zbMath1201.58003arXiv0711.4102OpenAlexW3101717269MaRDI QIDQ3161536

Tom Hadfield, Ulrich Krähmer

Publication date: 15 October 2010

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4102

zbMATH Keywords

quantum groupscyclic homologyHochschild homology

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) (K)-theory and operator algebras (including cyclic theory) (46L80) (K)-theory and homology; cyclic homology and cohomology (19D55) Noncommutative geometry (à la Connes) (58B34)

Related Items (7)

On Cyclic Cohomology of ×-Hopf algebras ⋮ Twisted reality condition for Dirac operators ⋮ Cyclic-homology Chern-Weil theory for families of principal coactions ⋮ Twisted Hochschild homology of quantum hyperplanes ⋮ Untwisting twisted spectral triples ⋮ Periodicity and cyclic homology. Para-\(S\)-modules and perturbation lemmas ⋮ Twisted Hochschild homology of quantum flag manifolds: 2-cycles from invariant projections

Cites Work

• Unnamed Item
• Unnamed Item
• Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras.
• Non-commutative differential geometry
• Hochschild and cyclic homology of quantum groups
• Hopf algebras, cyclic cohomology and the transverse index theorem
• Hochschild duality, localization, and smash products.
• Differential calculi over quantum groups and twisted cyclic cocycles
• Hopf-cyclic homology and cohomology with coefficients.
• On the Hochschild homology of quantum \(\text{SL}(N)\)
• Twisted homology of quantum \(\text{SL}(2)\)
• A local index formula for the quantum sphere
• Noncommutative differential geometry on the quantum \(\text{SU}(2)\). I: An algebraic viewpoint
• A relation between Hochschild homology and cohomology for Gorenstein rings
• CYCLIC COHOMOLOGY, QUANTUM GROUP SYMMETRIES AND THE LOCAL INDEX FORMULA FOR SU q (2)
• Classification of left-covariant differential calculi on the quantum group SL\(_q(2)\)

This page was built for publication: Twisted Homology of Quantum SL(2) - Part II