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Monotone complete C*-algebras and ge...

Saito, Kazuyuki.

Monotone complete C*-algebras and generic dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Monotone complete C*-algebras and generic dynamicsby Kazuyuki Saito, J.D. Maitland Wright.
Author:	Saito, Kazuyuki.
other author:	Wright, J.D. Maitland.
Published:	London :Springer London :2015.
Description:	xi, 257 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	C*-algebras.
Online resource:	http://dx.doi.org/10.1007/978-1-4471-6775-4
ISBN:	9781447167754$q(electronic bk.)

Monotone complete C*-algebras and generic dynamics
Saito, Kazuyuki.

Monotone complete C*-algebras and generic dynamics[electronic resource] /by Kazuyuki Saito, J.D. Maitland Wright. - London :Springer London :2015. - xi, 257 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

Standard No.: 10.1007/978-1-4471-6775-4doiSubjects--Topical Terms:

306364
C*-algebras.

LC Class. No.: QA326

Dewey Class. No.: 512.556

Monotone complete C*-algebras and generic dynamics
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100 1 $a Saito, Kazuyuki. $3 732694
245 1 0 $a Monotone complete C*-algebras and generic dynamics $h [electronic resource] / $c by Kazuyuki Saito, J.D. Maitland Wright.
260 $a London : $b Springer London : $b Imprint: Springer, $c 2015.
300 $a xi, 257 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
505 0 $a 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.
520 $a 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.
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650 2 4 $a Associative Rings and Algebras. $3 274818
700 1 $a Wright, J.D. Maitland. $3 732695
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830 0 $a Springer monographs in mathematics. $3 557774
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950 $a Mathematics and Statistics (Springer-11649)