论康纳斯-卡斯帕罗夫同构,II

IF 1.8 3区 数学 Q1 MATHEMATICS
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引用次数: 0

摘要

摘要 本文是两篇论文中的第二篇,致力于计算连通、线性、实还原群的还原 C* 代数,直至 C* 代数的莫里塔等价性,以及验证这些群在算子 K 理论中的康内斯-卡斯帕罗夫猜想。在第一部分中,我们介绍了莫里塔等价性和康纳斯-卡斯帕罗夫态。在这一部分中,我们将利用戴维-沃根(David Vogan)对调和对偶的描述来计算态式。事实上,我们将更进一步,用沃根的术语完整描述和参数化钢化对偶的基本组成部分,它们承载着钢化对偶的 K 理论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the Connes–Kasparov isomorphism, II

Abstract

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 in operator K-theory for these groups. 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. In fact we shall go further by giving a complete representation-theoretic description and parametrization, in Vogan’s terms, of the essential components of the tempered dual, which carry the K-theory of the tempered dual.

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来源期刊
CiteScore
3.90
自引率
0.00%
发文量
2
审稿时长
>12 weeks
期刊介绍: The official journal of the Mathematical Society of Japan, the Japanese Journal of Mathematics is devoted to authoritative research survey articles that will promote future progress in mathematics. It encourages advanced and clear expositions, giving new insights on topics of current interest from broad perspectives and/or reviewing all major developments in an important area over many years. An eminent international mathematics journal, the Japanese Journal of Mathematics has been published since 1924. It is an ideal resource for a wide range of mathematicians extending beyond a small circle of specialists. The official journal of the Mathematical Society of Japan. Devoted to authoritative research survey articles that will promote future progress in mathematics. Gives new insight on topics of current interest from broad perspectives and/or reviews all major developments in an important area over many years.
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