國立虎尾科技大學 |

Monotone Complete C*-algebras and Generic Dynamics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Monotone Complete C*-algebras and Generic Dynamics/ by Kazuyuki Saitô, J. D. Maitland Wright.
Author:	Saitô, Kazuyuki.
other author:	Wright, J. D. Maitland.
Description:	XI, 257 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functional analysis. -
Online resource:	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
LDR:02729nam a22004095i 4500 001 960384
003 DE-He213
005 20200703090329.0
007 cr nn 008mamaa
008 201211s2015 xxk| s |||| 0|eng d
020 $a 9781447167754 $9 978-1-4471-6775-4
024 7 $a 10.1007/978-1-4471-6775-4 $2 doi
035 $a 978-1-4471-6775-4
050 4 $a QA319-329.9
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.7 $2 23
100 1 $a Saitô, Kazuyuki. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1254270
245 1 0 $a Monotone Complete C*-algebras and Generic Dynamics $h [electronic resource] / $c by Kazuyuki Saitô, J. D. Maitland Wright.
250 $a 1st ed. 2015.
264 1 $a London : $b Springer London : $b Imprint: Springer, $c 2015.
300 $a XI, 257 p. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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.
650 0 $a Functional analysis. $3 527706
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Ordered algebraic structures. $3 672366
650 0 $a Associative rings. $3 893564
650 0 $a Rings (Algebra). $3 685051
650 1 4 $a Functional Analysis. $3 672166
650 2 4 $a Order, Lattices, Ordered Algebraic Structures. $3 670104
650 2 4 $a Associative Rings and Algebras. $3 672306
700 1 $a Wright, J. D. Maitland. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1254271
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9781447167730
776 0 8 $i Printed edition: $z 9781447167747
776 0 8 $i Printed edition: $z 9781447173885
830 0 $a Springer Monographs in Mathematics, $x 1439-7382 $3 1254272
856 4 0 $u https://doi.org/10.1007/978-1-4471-6775-4
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)