Abstract.The paper deals with induced representations ind^ cr of a locally compact group G where H is an open subgroup. Using "elementary intertwining operators", we first describe the commutant ind# o(G)' (also in the case of realizing the induced representations with positive definite measures). Then criteria for irreducibility and pairwise disjointness of induced representations are given. Finally, special attention is devoted to abelian subgroups H .
Abstract.The paper deals with induced representations ind^ cr of a locally compact group G where H is an open subgroup. Using "elementary intertwining operators", we first describe the commutant ind# o(G)' (also in the case of realizing the induced representations with positive definite measures). Then criteria for irreducibility and pairwise disjointness of induced representations are given. Finally, special attention is devoted to abelian subgroups H .
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