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Let G be a group and let A be the algebra of complex functions on G with finite support. The product in G gives rise to a coproduct Delta on A making the pair (A, Delta) a multiplier Hopf algebra. In fact, because there exist integrals, we get an algebraic quantum group as introduced and studied in [A. Van Daele, Adv. Math. 140 (1998) 323].status: publishe

ALGEBRAIC QUANTUM HYPERGROUPS II: CONSTRUCTIONS AND EXAMPLES