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" Monotone complete C*-algebras and generic dynamics / "
Kazuyuki Saitô, J.D. Maitland Wright
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BL
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| Record Number
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643698
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dltt
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| Main Entry
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Saitô, Kazuyuki,1942-
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| Title & Author
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Monotone complete C*-algebras and generic dynamics /\ Kazuyuki Saitô, J.D. Maitland Wright
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| Series Statement
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Springer monographs in mathematics,
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| Page. NO
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xi, 257 pages ;; 25 cm
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| ISBN
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1447167732
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: 9781447167730
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9781447167754
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| Bibliographies/Indexes
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Includes bibliographical references (pages 247-253) and index
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| Contents
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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
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| Abstract
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"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
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| Subject
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C*-algebras
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Monotone operators
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| LC Classification
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QA326.S25 2015
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| Added Entry
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Wright, J. D. Maitland
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