Measured quantum groupoids
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Publication:3548686
DOI10.24033/msmf.421zbMath1221.46003arXivmath/0409380OpenAlexW2963724149MaRDI QIDQ3548686
Publication date: 17 December 2008
Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0409380
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Quantizations, deformations for selfadjoint operator algebras (46L65)
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Measured quantum groupoids on a finite basis and equivariant Kasparov theory ⋮ The unitary implementation of a measured quantum groupoid action ⋮ Relative matched pairs of finite groups from depth two inclusions of von Neumann algebras to quantum groupoids ⋮ Outer actions of measured quantum groupoids ⋮ Separability idempotents in \(C^{\ast}\)-algebras ⋮ Comonoidal W\(^*\)-Morita equivalence for von Neumann bialgebras ⋮ On a Morita equivalence between the duals of quantum \(SU(2)\) and quantum \(\widetilde E(2)\) ⋮ Équivalence monoïdale de groupes quantiques et K-théorie bivariante ⋮ A class of C∗-algebraic locally compact quantum groupoids part I. Motivation and definition ⋮ The Larson–Sweedler theorem for weak multiplier Hopf algebras ⋮ On duality of algebraic quantum groupoids ⋮ Integration on algebraic quantum groupoids ⋮ Measured quantum groupoids associated with matched pairs of locally compact groupoids ⋮ A class of \(C^\ast\)-algebraic locally compact quantum groupoids. II: Main theory ⋮ Measured quantum groupoids associated to proper dynamical quantum groups
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