000 05970cam a2200517 i 4500
001 on1048402845
003 OCoLC
005 20250612155504.0
006 m o d
007 cr cnu|||unuuu
008 180813s2018 enk ob 001 0 eng d
040 _aN$T
_beng
_erda
_epn
_cN$T
_dN$T
_dEBLCP
_dOPELS
_dOCLCF
_dNLE
_dYDX
_dUKMGB
_dU3W
_dLVT
_dTKN
_dUAB
_dDEBBG
_dOCLCQ
_dD6H
_dSNK
_dLQU
_dOCLCQ
_dS2H
_dOCLCO
_dOCLCQ
_dOCLCO
_dK6U
_dOCLCQ
_dSFB
_dOCLCQ
_dOCLCO
_dOCLCL
_dSXB
_dOCLCQ
_dUKKRT
016 7 _a019020927
_2Uk
019 _a1048933748
_a1105190626
_a1105567297
_a1259584517
020 _a9780128141236
_q(electronic bk.)
020 _a0128141239
_q(electronic bk.)
020 _z9780128141229
020 _z0128141220
035 _a(OCoLC)1048402845
_z(OCoLC)1048933748
_z(OCoLC)1105190626
_z(OCoLC)1105567297
_z(OCoLC)1259584517
050 4 _aQA326
072 7 _aMAT
_x002040
_2bisacsh
082 0 4 _a512/.556
_223
100 1 _aPedersen, Gert Kjaerg�ard,
_eauthor.
_934204
245 1 0 _aC*-algebras and their automorphism groups /
_cGert K. Pedersen ; edited by S�ren Eilers, Dorte Olesen.
250 _aSecond edition.
264 1 _aLondon, United Kingdom :
_bAcademic Press, an imprint of Elsevier,
_c[2018]
264 4 _c�2018
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
588 _aOnline resource; title from PDF title page (EBSCO, viewed August 14, 2018).
504 _aIncludes bibliographical references and index.
505 0 _aIntro; C*-Algebras and Their Automorphism Groups; Contents; Biography; Gert Kj�rg�ard Pedersen (1940-2004); Author's Preface; Editors' Preface; 1 Abstract C*-Algebras; 1.1 Spectral Theory; 1.1.1; 1.1.2; 1.1.3 Proposition; 1.1.4; 1.1.5 Lemma; 1.1.6; 1.1.7 Theorem; 1.1.8 Proposition; 1.1.9; 1.1.10; 1.1.11; 1.1.12 Proposition; 1.1.13; 1.1.14 Author's notes and remarks; 1.1.15 Editors' notes and remarks; 1.2 Examples; 1.2.1; 1.2.2; 1.2.3; 1.2.4; 1.2.5; 1.2.6 Author's notes and remarks; 1.2.7 Editors' notes and remarks; 1.2.8; 1.2.9; 1.3 Positive Elements and Order; 1.3.1 Lemma; 1.3.2.
505 8 _a1.3.3 Theorem1.3.4; 1.3.5 Proposition; 1.3.6 Proposition; 1.3.7; 1.3.8 Proposition; 1.3.9 Proposition; 1.3.10; 1.3.11 Proposition; 1.3.12 Author's notes and remarks; 1.3.13 Editors' notes and remarks; 1.3.14 Lemma; 1.3.15 Theorem; 1.4 Approximate Units and Factorization Theorems; 1.4.1; 1.4.2 Theorem; 1.4.3; 1.4.4 Lemma; 1.4.5 Proposition; 1.4.6; 1.4.7 Proposition; 1.4.8 Proposition; 1.4.9; 1.4.10 Proposition; 1.4.11 Author's notes and remarks; 1.4.12 Editors' notes and remarks; 1.5 Hereditary Algebras, Ideals, and Quotients; 1.5.1; 1.5.2 Theorem; 1.5.3 Corollary; 1.5.4 Lemma; 1.5.5 Corollary.
505 8 _a1.5.61.5.7 Theorem; 1.5.8 Corollary; 1.5.9 Proposition; 1.5.10 Proposition; 1.5.11 Corollary; 1.5.12 Author's notes and remarks; 1.5.13 Editors' notes and remarks; 1.5.14 Lemma; 1.5.15 Editors' notes and remarks; 1.5.16; 2 Concrete C*-Algebras; 2.1 Topologies on B(H); 2.1.1; 2.1.2; 2.1.3 Lemma; 2.1.4; 2.1.5 Theorem; 2.1.6 Corollary; 2.1.7 Author's notes and remarks; 2.2 von Neumann's Bicommutant Theorem; 2.2.1; 2.2.2 Theorem; 2.2.3 Lemma; 2.2.4; 2.2.5 Corollary; 2.2.6; 2.2.7; 2.2.8; 2.2.9 Proposition; 2.2.10; 2.2.11 Author's notes and remarks; 2.3 Kaplansky's Density Theorem; 2.3.1.
505 8 _a2.3.2 Proposition2.3.3 Theorem; 2.3.4 Author's notes and remarks; 2.4 The Up-Down Theorem; 2.4.1; 2.4.2 Lemma; 2.4.3 Theorem; 2.4.4 Theorem; 2.4.5 Author's notes and remarks; 2.5 Normal Morphisms and Ideals; 2.5.1; 2.5.2 Proposition; 2.5.4 Proposition; 2.5.3 Theorem; 2.5.5 Corollary; 2.5.6 Author's notes and remarks; 2.5.7 Editors' notes and remarks; 2.6 The Central Cover; 2.6.1; 2.6.2; 2.6.3 Lemma; 2.6.4 Lemma; 2.6.5 Lemma; 2.6.6 Lemma; 2.6.7 Proposition; 2.6.8 Corollary; 2.6.9 Author's notes and remarks; 2.7 A Generalization of Lusin's Theorem; 2.7.1; 2.7.2 Lemma; 2.7.3 Theorem.
505 8 _a2.7.4 Corollary2.7.5 Theorem; 2.7.6 Author's notes and remarks; 2.7.7 Editors' notes and remarks; 2.8 Maximal Commutative Subalgebras; 2.8.1; 2.8.2; 2.8.3 Proposition; 2.8.4 Theorem; 2.8.5 Lemma; 2.8.6 Lemma; 2.8.7; 2.8.8 Corollary; 2.8.9 Author's notes and remarks; 2.8.10 Editors' notes and remarks; 2.9 Universal C*-Algebras; 2.9.1 Editors' notes and remarks; 2.9.2; 2.9.3 Theorem; 2.9.4; 2.9.5; 2.9.6; 3 Functionals and Representations; 3.1 Positive Functionals; 3.1.1; 3.1.2; 3.1.3 Theorem; 3.1.4 Proposition; 3.1.5 Lemma; 3.1.6 Proposition; 3.1.7 Author's notes and remarks.
520 _aThis elegantly edited landmark edition of Gert Kj�i�A�rg�i�A�rd Pedersen's C*-Algebras and their Automorphism Groups (1979) carefully and sensitively extends the classic work to reflect the wealth of relevant novel results revealed over the past forty years. Revered from publication for its writing clarity and extremely elegant presentation of a vast space within operator algebras, Pedersen's monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, and by strict intention releasing the C*-algebras from the yoke of representations as Hilbert space operators. Under the editorship of S�i�A�ren Eilers and Dorte Olesen, the second edition modernizes Pedersen's work for a new generation of C*-algebraists, with voluminous new commentary, all-new indexes, annotation and terminology annexes, and a surfeit of new discussion of applications and of the author's later work.
650 0 _aC*-algebras.
_934205
650 0 _aAutomorphisms.
_934206
700 1 _aEilers, S�ren,
_eeditor.
_934207
700 1 _aOlesen, Dorte,
_eeditor.
_934208
776 0 8 _iPrint version:
_aPedersen, Gert Kjaerg�ard.
_tC*-algebras and their automorphism groups.
_bSecond edition.
_d�2018
_z0128141220
_z9780128141229
_w(OCoLC)1004362506
856 4 0 _3ScienceDirect
_uhttps://www.sciencedirect.com/science/book/9780128141229
999 _c216480
_d216480