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Almost periodic functions on semidirect products of transformation semigroups
1978
Pacific Journal of Mathematics
The notion of semidirect product of two transformation semigroups is introduced, and its space of almost periodic functions is expressed as a tensor product. The general techniques developed are applied to the special case of a semidirect product S © T of two semigroups. As a consequence new results are obtained on the characterization of the almost periodic compactification of S © Γ as a semidirect product of compact semigroups. A related result is the splitting of the enveloping semigroup of
doi:10.2140/pjm.1978.79.117
fatcat:ryqjymr6krej5at6k7mga6qleu