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Algebraic quantum hypergroups. II: Constructions and examples. (English) Zbl 1215.43003
[Part I in Adv. Math. 226, No. 2, 1134–1167 (2011; Zbl 1206.43004).]
An algebraic quantum hypergroup is like an algebraic quantum group, but without the assumption that the coproduct is an algebra map. The main result of this paper gives a construction of certain algebraic quantum hypergroups from algebraic quantum groups (starting from an involutive algebraic quantum group one obtains an involutive algebraic quantum hypergroup) using conditional expectations associated to a regular group-like idempotent in the multiplier algebra of the dual of the original algebraic quantum group.

MSC:
43A62 Harmonic analysis on hypergroups
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