an:05881494
Zbl 1215.43003
Delvaux, L.; Van Daele, A.
Algebraic quantum hypergroups. II: Constructions and examples
EN
Int. J. Math. 22, No. 3, 407-434 (2011).
00276923
2011
j
43A62
algebraic quantum hypergroup; multiplier Hopf algebra; dual; coproduct; group-like projection
[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.
Volodymyr Mazorchuk (Uppsala)
Zbl 1206.43004