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Abstract. For a locally compact group G and a group B of topological automorphisms containing the inner automorphisms of G and being relatively compact with respect to Birkhofftopology (that is G e [FIA]j~, B ~_ I (G)) the space Gz~ of B-orbits is a commutative hypergroup (= commutative convo in JEWETT's terminology) in a natural way as JEWETT has shown. Identifying the space of hypergroup characters of G z with E (G,B) (the extreme points of B-invariant positive definite continuous functions p with p (e) = l, endowed with the topology of compact convergence) we prove that E (G, B) is a hypergroup, the "hypergroup dual" of G z. Introduction The theory of topological hypergroups was initiated by DUXKL 16'.'

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