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Record Nr. |
UNINA9910300245603321 |
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Autore |
Saitô Kazuyuki |
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Titolo |
Monotone complete C-algebras and generic dynamics / / by Kazuyuki Saitô, J. D. Maitland Wright |
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Pubbl/distr/stampa |
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London : , : Springer London : , : Imprint : Springer, , 2015 |
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ISBN |
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Edizione |
[1st ed. 2015.] |
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Descrizione fisica |
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1 online resource (265 p.) |
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Collana |
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Springer Monographs in Mathematics, , 1439-7382 |
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Disciplina |
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Soggetti |
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Functional analysis |
Algebra |
Ordered algebraic structures |
Associative rings |
Rings (Algebra) |
Functional Analysis |
Order, Lattices, Ordered Algebraic Structures |
Associative Rings and Algebras |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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