Monotone complete C*-algebras and generic dynamics /

Monotone complete C*-algebras and generic dynamics /

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Bibliographic Details
Author / Creator:	Saitô, Kazuyuki, author.
Imprint:	London : Springer, 2015.
Description:	1 online resource (xi, 257 pages).
Language:	English
Series:	Springer monographs in mathematics, 1439-7382 Springer monographs in mathematics.
Subject:	C-algebras. Monotone operators. C-algebras. Monotone operators.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11097096

Hidden Bibliographic Details
Other authors / contributors:	Wright, J. D. Maitland, author.
ISBN:	9781447167754 1447167759 1447167732 9781447167730 9781447167730
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed December 30, 2015).
Summary:	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.
Other form:	Printed edition: 9781447167730
Standard no.:	10.1007/978-1-4471-6775-4

Description
Summary:	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. <br> 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. <br> 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. <br> Written by major contributors to this field, Monotone Complete C-algebra s 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.
Physical Description:	1 online resource (xi, 257 pages).
Bibliography:	Includes bibliographical references and index.
ISBN:	9781447167754 1447167759 1447167732 9781447167730
ISSN:	1439-7382