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- W2912757782 abstract "We define a category $mathcal{QSI}$ of quantum semigroups with involution which carries a corepresentation-based duality map $Mmapsto widehat M$. Objects in $mathcal{QSI}$ are von Neumann algebras with comultiplication and coinvolution, we do not suppose the existence of a Haar weight or of a distinguished spatial realisation. In the case of a locally compact quantum group $mathbb G$, the duality $;widehat{ };$ in $mathcal{QSI}$ recovers the universal duality of Kustermans: $widehat{L^infty(mathbb G)} = C_0^u(hat {mathbb G})^{**}= widehat{ C_0^u(mathbb G)^{**}}$, and $widehat{L^infty(hat{mathbb G})} = C_0^u(mathbb G)^{**} = widehat{ C_0^u(hat{mathbb G})^{**}}$. Other various examples are given." @default.
- W2912757782 created "2019-02-21" @default.
- W2912757782 creator A5067891504 @default.
- W2912757782 date "2016-11-15" @default.
- W2912757782 modified "2023-09-27" @default.
- W2912757782 title "A duality construction for von Neumann bialgebras not involving a Haar weight" @default.
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