The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras
The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras
The purpose of this paper is to make a further contribution to the Mackey bijection for a complex reductive group<inline-formula content-type="math/mathml"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G"><mml:semantics><mml:mi>G</mml:mi><mml:annotation encoding="application/x-tex">G</mml:annotation></mml:semantics></mml:math></inline-formula>, between the tempered dual of<inline-formula content-type="math/mathml"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G"><mml:semantics><mml:mi>G</mml:mi><mml:annotation encoding="application/x-tex">G</mml:annotation></mml:semantics></mml:math></inline-formula>and the unitary dual of the associated Cartan motion group. We shall construct an embedding of …