C*-algebras and their automorphism groups Gert K. Pedersen ; edited by Søren Eilers, Dorte Olesen.

Includes bibliographical references and index.

Intro; C*-Algebras and Their Automorphism Groups; Contents; Biography; Gert Kjærgård 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

1.3.3 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

1.5.61.5.7 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

2.3.2 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

2.7.4 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