Unitary representations of solvable Lie groups
L. Pukanszky (1971)
Annales scientifiques de l'École Normale Supérieure
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L. Pukanszky (1971)
Annales scientifiques de l'École Normale Supérieure
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Niels Vigand Pedersen (1983)
Compositio Mathematica
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Adam Kleppner, Ronald Lipsman (1972)
Annales scientifiques de l'École Normale Supérieure
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Ian Stewart (1975)
Compositio Mathematica
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Jérôme Chabert, Siegfried Echterhoff, Ryszard Nest (2003)
Publications Mathématiques de l'IHÉS
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Let G be a locally compact group with cocompact connected component. We prove that the assembly map from the topological K-theory of G to the K-theory of the reduced C-algebra of G is an isomorphism. The same is shown for the groups of -rational points of any linear algebraic group over a local field of characteristic zero.
Anh Nguyen Huu (1980)
Annales de l'institut Fourier
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We introduce a new class of connected solvable Lie groups called -group. Namely a -group is a connected solvable Lie group with center such that for some in the Lie algebra of , the symplectic for on given by is nondegenerate. Moreover, apart form some technical requirements, it will be proved that a connected unimodular Lie group with center , such that the center of is finite, has discrete series if and only if may be written as , , where is a -group with...