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020226s2001 si b 001 0 eng d |
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|a 9810246803
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|a NYCGAUK2678-B
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|a (NNC)notisAUK2678
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|a (OCoLC)49195508
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|a 90095646
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|a FDU
|c X4Y
|d OrLoB-B
|d OCoLC
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1 |
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|a LIN, HUAXIN.
|1 http://viaf.org/viaf/41080856
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0 |
3 |
|a An Introduction to the classification of Amenable C*-Algebras /
|c Huaxin Lin.
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|a Amenable C*-Algebras
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260 |
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|a Singapore ;
|a London ;
|a New Jersey :
|b World Scientific,
|c c2001.
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300 |
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|a xi, 320 p. ;
|c 23 cm.
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336 |
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
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337 |
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|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
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|a Includes bibliographical references (p. 307-316) and index.
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505 |
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|g Ch. 1.
|t The Basics of C*-algebras --
|g 1.1.
|t Banach algebras --
|g 1.2.
|t C*-algebras --
|g 1.3.
|t Commutative C*-algebras --
|g 1.4.
|t Positive cones --
|g 1.5.
|t Approximate identities, hereditary C*-subalgebras and quotients --
|g 1.6.
|t Positive linear functionals and a Gelfand-Naimark theorem --
|g 1.7.
|t Von Neumann algebras --
|g 1.8.
|t Enveloping von Neumann algebras and the spectral theorem --
|g 1.9.
|t Examples of C*-algebras --
|g 1.10.
|t Inductive limits of C*-algebras --
|g Ch. 2.
|t Amenable C*-algebras and K-theory --
|g 2.1.
|t Completely positive linear maps and the Stinespring representation --
|g 2.2.
|t Examples of completely positive linear maps --
|g 2.3.
|t Amenable C*-algebras --
|g 2.4.
|t K-theory --
|g 2.5.
|t Perturbations --
|g 2.6.
|t Examples of K-groups --
|g 2.7.
|t K-theory of inductive limits of C*-algebras --
|g Ch. 3.
|t AF-algebras and Ranks of C*-algebras --
|g 3.1.
|t C*-algebras of stable rank one and their K-theory --
|g 3.2.
|t C*-algebras of lower rank --
|g 3.3.
|t Order structure of K-theory --
|g 3.4.
|t AF-algebras --
|g 3.5.
|t Simple C*-algebras --
|g 3.6.
|t Tracial topological rank --
|g 3.7.
|t Simple C*-algebras with TR(A) [less than or equal to] 1 --
|g Ch. 4.
|t Classification of Simple AT-algebras --
|g 4.1.
|t Some basics about AT-algebras --
|g 4.2.
|t Unitary groups of C*-algebras with real rank zero --
|g 4.3.
|t Simple AT-algebras with real rank zero --
|g 4.4.
|t Unitaries in simple C-algebra with RR(A) = 0 --
|g 4.5.
|t A uniqueness theorem --
|g 4.6.
|t Classification of simple AT-algebras --
|g 4.7.
|t Invariants of simple AT-algebras --
|g Ch. 5.
|t C*-algebra Extensions --
|g 5.1.
|t Multiplier algebras --
|g 5.2.
|t Extensions of C*-algebras --
|g 5.3.
|t Completely positive maps to M[subscript n](C) --
|g 5.4.
|t Amenable completely positive maps --
|g 5.5.
|t Absorbing extensions --
|g 5.6.
|t A stable uniqueness theorem --
|g 5.7.
|t K-theory and the universal coefficient theorem --
|g 5.8.
|t Characterization of KK-theory and a universal multi-coefficient theorem --
|g 5.9.
|t Approximately trivial extensions --
|g Ch. 6.
|t Classification of Simple Amenable C*-algebras --
|g 6.1.
|t An existence theorem --
|g 6.2.
|t Simple AH-algebras --
|g 6.3.
|t The classification theorems --
|g 6.4.
|t Invariants and some isomorphism theorems.
|
650 |
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|a C*-algebras.
|0 http://id.loc.gov/authorities/subjects/sh85018534
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650 |
|
7 |
|a C*-algebras.
|2 fast
|0 http://id.worldcat.org/fast/fst00843285
|
650 |
|
7 |
|a K-theory.
|2 fast
|0 http://id.worldcat.org/fast/fst00985541
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901 |
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|a ToCBNA
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903 |
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|a HeVa
|
929 |
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|a cat
|
999 |
f |
f |
|i 7b7afce6-dfa9-5f3f-a8e2-cf1638265756
|s 17225690-f05c-5672-9f5c-b6c33829a7af
|
928 |
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|t Library of Congress classification
|a QA326 .L56 2001
|l ASR
|c ASR-SciASR
|i 4315200
|
927 |
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|t Library of Congress classification
|a QA326 .L56 2001
|l ASR
|c ASR-SciASR
|e CL27
|e CRERAR
|b 60663414
|i 7267007
|