The cyclic theory of Hopf algebroids.
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Publication:720533
DOI10.4171/JNCG/82zbMath1262.16030arXiv0904.4736MaRDI QIDQ720533
Hessel Posthuma, Niels Kowalzig
Publication date: 17 October 2011
Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.4736
étale groupoidsHopf algebroidscyclic cohomologyLie-Rinehart algebrasHopf-cyclic cohomologycyclic duality
(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (K)-theory and homology; cyclic homology and cohomology (19D55) Noncommutative geometry (à la Connes) (58B34) Hopf algebras and their applications (16T05)
Related Items (22)
On Lie algebroid over algebraic spaces ⋮ Hopf cyclic cohomology and Hodge theory for proper actions on complex manifolds ⋮ A Lie–Rinehart Algebra with No Antipode ⋮ Duality features of left Hopf algebroids ⋮ A noncommutative calculus on the cyclic dual of Ext ⋮ Morita base change in Hopf-cyclic (co)homology. ⋮ Convolution bialgebra of a Lie groupoid and transversal distributions ⋮ Hopf cyclic cohomology and Hodge theory for proper actions ⋮ Cohomology for partial actions of Hopf algebras ⋮ Isotropy quotients of Hopf algebroids and the fundamental groupoid of digraphs ⋮ Measurings of Hopf algebroids and morphisms in cyclic (co)homology theories ⋮ Locally convex bialgebroid of an action Lie groupoid ⋮ Toward differentiation and integration between Hopf algebroids and Lie algebroids ⋮ Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology ⋮ When Ext is a Batalin-Vilkovisky algebra ⋮ A Hopf algebra associated with a Lie pair ⋮ The localized longitudinal index theorem for Lie groupoids and the Van Est map ⋮ A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids ⋮ Hopf algebroid twists for deformation quantization of linear Poisson structures ⋮ Generalized symmetry in noncommutative (complex) geometry ⋮ Batalin-Vilkovisky algebra structures on (Co)Tor and Poisson bialgebroids. ⋮ Duality functors for quantum groupoids
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