*-代数、局部紧群和巴拿赫*-代数丛的表示（第一卷）：群和代数的基本表示理论（英文）

定　　价：148 元

丛书名：国外优秀数学著作原版系列

• 作者：[美] J.M.G.费尔（J.M.G.Fell），[美] R.S.多兰（R.S.Doran） 著
• 出版时间：2020/5/1
• ISBN：9787560386751
• 出 版 社：哈尔滨工业大学出版社

• 中图法分类：O15 
• 页码：754
• 纸张：胶版纸
• 版次：1
• 开本：16开

内容简介

　　《*-代数、局部紧群和巴拿赫*-代数丛的表示：群和代数的基本表示理论（英文）》共7章，主要包括集合论与巴拿赫丛、局部紧群，代数表示理论、局部凸表示与巴拿赫代数、C*-代数及其*-表示，*-表示空间的拓扑学，Stone-Weierstrass定理、希尔伯特空间中的无界算子、阿贝尔群和交换巴拿赫*-代数丛等内容。

序 言

　　This two-volume work serves a double purpose， roughly（but not entirely） corresponding to the division into volumes. The first purpose（which occupies Volume 1 and part of Volume 2） is to provide a leisurely introduction to the basic functional analysis underlying the theory of infinitedimensional unitary representations of locally compact groups and its generalization to representations of Banach algebras. Thus， the first volume covers generally well-known material on measure theory（Chapter II）， topological groups and their group algebras（Chapter III）， purely algebraic representation theory（Chapter IV）， Banach algebras（Chapter V）， C*-algebras and their *-representations（Chapter VI）， and the topology of *-representations（Chapter VII）. Chapters IX and X（in Volume 2）， which deal mostly with classical material on compact groups and locally compact Abelian groups respectively， also serve primarily the first purpose.
　　The second purpose（which occupies Chapters VIII， XI， and XII of Volume 2） is to bring the reader to the frontiers of present-day knowledge in one limited but important area， namely， the Mackey normal subgroup analysis and its generalization to the context of Banach *-algebraic bundles. Here too our presentation is quite leisurely. Chapter VIII deals with Banach *-algebraic bundles and their representations.