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Monotone complete C*-algebras and generic dynamics [electronic resource]

Monotone complete C*-algebras and generic dynamics [electronic resource]

Material type
E-Book(소장)
Personal Author
Saitô, Kazuyuki . Wright, J. D. Maitland.
Title Statement
Monotone complete C*-algebras and generic dynamics [electronic resource] / Kazuyuki Saitô, J.D. Maitland Wright.
Publication, Distribution, etc
London :   Springer London :   Imprint: Springer,   2015.  
Physical Medium
1 online resource (xi, 257 p.) : ill.
Series Statement
Springer monographs in mathematics,1439-7382
ISBN
9781447167754
요약
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.
General Note
Title from e-Book title page.  
Content Notes
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.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
C*-algebras.
Short cut
URL
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020 ▼a 9781447167754
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084 ▼a 512.556 ▼2 DDCK
090 ▼a 512.556
100 1 ▼a Saitô, Kazuyuki .
245 1 0 ▼a Monotone complete C*-algebras and generic dynamics ▼h [electronic resource] / ▼c Kazuyuki Saitô, J.D. Maitland Wright.
260 ▼a London : ▼b Springer London : ▼b Imprint: Springer, ▼c 2015.
300 ▼a 1 online resource (xi, 257 p.) : ▼b ill.
490 1 ▼a Springer monographs in mathematics, ▼x 1439-7382
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a C*-algebras.
700 1 ▼a Wright, J. D. Maitland.
830 0 ▼a Springer monographs in mathematics.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-1-4471-6775-4
945 ▼a KLPA
991 ▼a E-Book(소장)

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