Comonoidal W*-Morita equivalence for von Neumann bialgebras
Copyright policy )Comonoidal W*-Morita equivalence for von Neumann bialgebras
A theory of Galois co-objects for von Neumann bialgebras is introduced. This concept is closely related to the notion of comonoidal W*-Morita equivalence between von Neumann bialgebras, which is a Morita equivalence taking the comultiplication structure into account. We show that the property of ‘being a von Neumann algebraic quantum group’ (i.e. ‘having invariant weights’) is preserved under this equivalence relation. We also introduce the notion of a projective corepresentation for a von Neumann bialgebra, and show how it leads to a construction method for Galois co-objects and comonoidal W*-Morita equivalences.
von Neumann algebraic quantum group, Morita equivalence, Mathematics - Operator Algebras, Quantizations, deformations for selfadjoint operator algebras, Quantum groups (quantized enveloping algebras) and related deformations, locally compact quantum group, locally compact quantum groups, FOS: Mathematics, cocycle twisting, 46L65, 81R50, Operator Algebras (math.OA), Quantum groups and related algebraic methods applied to problems in quantum theory, Ring-theoretic aspects of quantum groups
von Neumann algebraic quantum group, Morita equivalence, Mathematics - Operator Algebras, Quantizations, deformations for selfadjoint operator algebras, Quantum groups (quantized enveloping algebras) and related deformations, locally compact quantum group, locally compact quantum groups, FOS: Mathematics, cocycle twisting, 46L65, 81R50, Operator Algebras (math.OA), Quantum groups and related algebraic methods applied to problems in quantum theory, Ring-theoretic aspects of quantum groups
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!