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100   $a20151215d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aMonotone complete C*-algebras and generic dynamics /$fby Kazuyuki Saitô, J. D. Maitland Wright
205   $a1st ed. 2015.
210  1$aLondon :$cSpringer London :$cImprint: Springer,$d2015.
215   $a1 online resource (265 p.)
225 1 $aSpringer Monographs in Mathematics,$x1439-7382
300   $aDescription based upon print version of record.
311   $a1-4471-6773-2 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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.
330   $aThis monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras. Our knowledge and understanding of monotone complete C*-algebras has been transformed in recent years. This is a very exciting stage in their development, with much discovered but with many mysteries to unravel. This book is intended to encourage graduate students and working mathematicians to attack some of these difficult questions. Each bounded, upward directed net of real numbers has a limit. Monotone complete algebras of operators have a similar property. In particular, every von Neumann algebra is monotone complete but the converse is false. Written by major contributors to this field, Monotone Complete C*-algebras and Generic Dynamics takes readers from the basics to recent advances. The prerequisites are a grounding in functional analysis, some point set topology and an elementary knowledge of C*-algebras.
410  0$aSpringer Monographs in Mathematics,$x1439-7382
606   $aFunctional analysis
606   $aAlgebra
606   $aOrdered algebraic structures
606   $aAssociative rings
606   $aRings (Algebra)
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOrder, Lattices, Ordered Algebraic Structures$3https://scigraph.springernature.com/ontologies/product-market-codes/M11124
606   $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027
615  0$aFunctional analysis.
615  0$aAlgebra.
615  0$aOrdered algebraic structures.
615  0$aAssociative rings.
615  0$aRings (Algebra)
615 14$aFunctional Analysis.
615 24$aOrder, Lattices, Ordered Algebraic Structures.
615 24$aAssociative Rings and Algebras.
676   $a512.556
700   $aSaitô$b Kazuyuki$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720946
702   $aWright$b J. D. Maitland$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300245603321
996   $a-algebras and generic dynamics$94303983
997   $aUNINA