Monotone complete C*-algebras and generic dynamics / Kazuyuki Saitô, J.D. Maitland Wright.

Format:

Book

Author/Creator:

Saitô, Kazuyuki (Writer on mathematics), author.

Wright, J. D. Maitland, author.

Series:

Springer monographs in mathematics

Springer monographs in mathematics, 1439-7382

Language:

English

Subjects (All):

C*-algebras.

Monotone operators.

Physical Description:

xi, 257 pages ; 25 cm.

Place of Publication:

London : Springer, [2015]

Summary:

"This book is about monotone complete C*-algebras, their properties, and the new classification theory (using spectroid invariants and a classification semigroup). A basic account of generic dynamics is included because of its important connections to these algebras. 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. The small von Neumann factors can be labelled by the set of real numbers. But there are many more (2R) small monotone complete C*-algebras which includes recent advances but also indicates the many mysteries and open problems which remain"--Page v.

Contents:

Order fundamentals

Classification and invariants

Commutative algebras : constructions and classifications

Complexity and representations

Generic dynamics

Constructing monotone complete C*-algebras

Envelopes, completions and AW*-algebras.

Notes:

Includes bibliographical references (pages 247-253) and index.

ISBN:

1447167732

9781447167730

OCLC:

918594216