Proper Actions of Groups on C*-Algebras
Proper Actions of Groups on C*-Algebras
复制标题
C*-代数群的正当行动
DOI：
10.1007/978-1-4612-0453-4_6
复制
发表时间：
1991
影响因子：
2.4
通讯作者：
M. Rieffel
中科院分区：
文献类型：
--
作者：
M. Rieffel
最近，我一直在尝试为泊松流形的变形量化主题制定一个合适的 C* 代数框架 [1,13]。我在这个框架 [27] 中构建的一些主要例子涉及 C* 代数上群的“正确”行为，其中“正确”行为被定义为局部紧空间上群的正确行为的概括。我为此目的编写的关于适当行动的许多材料都具有一般性，在其他情况下可能有用，因为在本文中对其进行单独说明似乎是合适的。
Recently I have been attempting to formulate a suitable C*-algebraic framework for the subject of deformation quantization of Poisson manifolds [1,13]. Some of the main examples which I have constructed within this framework [27] involve “proper” actions of groups on C*-algebras, where “proper” actions are to be defined as a generalization of proper actions of groups on locally compact spaces. Much of the material on proper actions which I have developed for this purpose is of a general nature which may be useful in other situations, as it has seemed appropriate to give a separate exposition of it, in the present article.