Monotone Complete C*-algebras and Generic Dynamics

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Algebra
Cover of the book Monotone Complete C*-algebras and Generic Dynamics by Kazuyuki Saitô, J. D. Maitland Wright, Springer London
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Author: Kazuyuki Saitô, J. D. Maitland Wright ISBN: 9781447167754
Publisher: Springer London Publication: December 16, 2015
Imprint: Springer Language: English
Author: Kazuyuki Saitô, J. D. Maitland Wright
ISBN: 9781447167754
Publisher: Springer London
Publication: December 16, 2015
Imprint: Springer
Language: English

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*-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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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*-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.

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