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Monotone Complete C*-algebras and Ge...
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Monotone Complete C*-algebras and Generic Dynamics
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Monotone Complete C*-algebras and Generic Dynamics/ by Kazuyuki Saitô, J. D. Maitland Wright.
作者:
Saitô, Kazuyuki.
其他作者:
Wright, J. D. Maitland.
面頁冊數:
XI, 257 p.online resource. :
Contained By:
Springer Nature eBook
標題:
Functional analysis. -
電子資源:
https://doi.org/10.1007/978-1-4471-6775-4
ISBN:
9781447167754
Monotone Complete C*-algebras and Generic Dynamics
Saitô, Kazuyuki.
Monotone Complete C*-algebras and Generic Dynamics
[electronic resource] /by Kazuyuki Saitô, J. D. Maitland Wright. - 1st ed. 2015. - XI, 257 p.online resource. - Springer Monographs in Mathematics,1439-7382. - Springer Monographs in Mathematics,.
Introduction -- Order Fundamentals -- Classification and Invariants -- Commutative Algebras: Constructions and Classifications -- Convexity and Representations -- Generic Dynamics -- Constructing Monotone Complete C∗-algebras -- Envelopes, Completions and AW∗-algebras.
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.
ISBN: 9781447167754
Standard No.: 10.1007/978-1-4471-6775-4doiSubjects--Topical Terms:
527706
Functional analysis.
LC Class. No.: QA319-329.9
Dewey Class. No.: 515.7
Monotone Complete C*-algebras and Generic Dynamics
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