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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… Click to show full 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.
Keywords:
hecke algebras;
algebras locally;
compact hypergroups;
locally compact
Journal Title: Georgian Mathematical Journal
Year Published: 2020
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Journal Title: Georgian Mathematical Journal
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!