【2015新书】Monotone Complete C*-algebras and Generic Dynamics
Book 图书名称:Monotone Complete C*-algebras and Generic Dynamics
Author 作者: Kazuyuki Saitô, J. D. Maitland Wright
Publisher 出版社: Springer
Page 页数:265
Publishing Date 出版时间: Dec 16, 2015
Language 语言: English
Size 大小: 5 MB
Format 格式: pdf 文字版
ISBN:1447167732, 9781447167730
Edition: 第1版 搜索过论坛,没有该文档
This monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras.
Our knowledge and understanding of monotone complete C*-algebras has been transformed in recent years. This is a very exciting stage in their development, with much discovered but with many mysteries to unravel. This book is intended to encourage graduate students and working mathematicians to attack some of these difficult questions.
Each bounded, upward directed net of real numbers has a limit. Monotone complete algebras of operators have a similar property. In particular, every von Neumann algebra is monotone complete but the converse is false.
Written by major contributors to this field, Monotone Complete C*-algebras and Generic Dynamics takes readers from the basics to recent advances. The prerequisites are a grounding in functional analysis, some point set topology and an elementary knowledge of C*-algebras.