Abstract
Abstract In this paper, for a discrete hypergroup K and its subhypergroup H, we initiate the related Hecke * {*} -algebra which is an extension of the classical one, and study its basic properties. Especially, we give a necessary and sufficient condition (named (β)) for this algebra to be associative. Also, we show that this new structure is an associative * {*} -algebra if and only if K is a locally compact group.
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