Abstract:The purpose of this paper is to make a further contribution to the Mackey bijection for a complex reductive group , between the tempered dual of and the unitary dual of the associated Cartan motion group. We shall construct an embedding of the -algebra of the motion group into the reduced -algebra of , and use it to characterize the continuous field of reduced group -algebras that is associated to the Mackey bijection. We shall also obtain a new characterization of the Mackey bijection using the same embedding.

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中文翻译：

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Mackey双射对复杂还原群和还原群C *-代数的连续场

摘要：本文的目的是为复杂的归约组的Mackey射流做出进一步的贡献，在相关的Cartan运动组的回火对偶和the对偶之间。我们将把运动组的-代数嵌入到的化简-代数中，并用它来表征与Mackey双射相关的化简化组-代数的连续场。我们还将使用相同的嵌入获得Mackey双射的新特征。

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