Monotone Complete C*-algebras and Generic ...

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Unique in presenting the modern theory of monotone complete C*-algebras

Gives a self-contained introduction to generic dynamics

Explains the new classification theory introducing spectroids and classification semigroups

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2015
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xi 257 S.
ISBN-13:	9781447167730
ISBN-10:	1447167732
Sprache:	Englisch
Einband:	Gebunden
Autor:	Wright, J. D. Maitland Saitô, Kazuyuki
Auflage:	1st edition 2015
Hersteller:	Springer London
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 21 mm
Von/Mit:	J. D. Maitland Wright (u. a.)
Erscheinungsdatum:	22.12.2015
Gewicht:	0,576 kg

Artikel-ID: 104267787