论文标题

在Connes-Kasparov同构中,II:钢化双重组成部分的Vogan分类

On the Connes-Kasparov isomorphism, II: The Vogan classification of essential components in the tempered dual

论文作者

Clare, Pierre, Higson, Nigel, Song, Yanli

论文摘要

这是两篇论文中的第二篇,用于计算相连的,线性,实际还原群的降低的C*代数,直至C* - 代数Morita等价,以及对这些组的Connes-kasparov构想的验证。这些结果最初是由安东尼·瓦瑟曼(Antony Wassermann)于1987年宣布的。第一部分中,我们介绍了莫里塔(Morita)等价性和康纳斯·卡斯帕罗夫(Connes-Kasparov)的形态。在这一部分中,我们将使用戴维·沃根(David Vogan)对脾气发脾气的描述来计算形态。

This is the second of two papers dedicated to the computation of the reduced C*-algebra of a connected, linear, real reductive group up to C*-algebraic Morita equivalence, and the verification of the Connes-Kasparov conjecture for these groups. These results were originally announced by Antony Wassermann in 1987. In Part I we presented the Morita equivalence and the Connes-Kasparov morphism. In this part we shall compute the morphism using David Vogan's description of the tempered dual.

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