General Theory of C*-Algebras
- 1st Edition, Volume 3 - May 28, 2011
- Imprint: North Holland
- Editor: Corneliu Constantinescu
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 4 - 5 4 2 1 9 - 9
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 5 2 8 3 4 - 2
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Introduction.
4. C*-Algebras.
4.1 The General Theory.
4.1.1 General Results.
4.1.2 The Symmetry of C*-algebra.
4.1.3 Functional calculus in C*-algebras.
4.1.4 The Theorem of Fuglede-Putnam
4.2 The Order Relation
4.2.1 Definition and General Properties
4.2.2 More about the Order Relation
4.2.3 Examples
4.2.4 Powers of Positive Elements
4.2.5 The Modulus
4.2.6 Ideals and Quotients of C*-algebras.
4.2.7 The Ordered Set of Orthogonal Projections.
4.2.8 Approximate Unit.
4.3 Supplementary Results on C*-algebras.
4.3.1 The Exterior Multiplication.
4.3.2 Order Complete C*-algebras.
4.3.3 The Carrier.
4.3.4 Hereditary C*-Subalgebras.
4.3.5 Simple C*-algebras.
4.3.6 Supplementary Results Concerning Complexification.
4.4 W*-algebras.
4.4.1 General Properties.
4.4.2 F as an E-submodule of E1.
4.4.3 Polar Representation.
4.4.4 W*-Homomorphisms.
Name Index. Subject Index. Symbol Index.
4. C*-Algebras.
4.1 The General Theory.
4.1.1 General Results.
4.1.2 The Symmetry of C*-algebra.
4.1.3 Functional calculus in C*-algebras.
4.1.4 The Theorem of Fuglede-Putnam
4.2 The Order Relation
4.2.1 Definition and General Properties
4.2.2 More about the Order Relation
4.2.3 Examples
4.2.4 Powers of Positive Elements
4.2.5 The Modulus
4.2.6 Ideals and Quotients of C*-algebras.
4.2.7 The Ordered Set of Orthogonal Projections.
4.2.8 Approximate Unit.
4.3 Supplementary Results on C*-algebras.
4.3.1 The Exterior Multiplication.
4.3.2 Order Complete C*-algebras.
4.3.3 The Carrier.
4.3.4 Hereditary C*-Subalgebras.
4.3.5 Simple C*-algebras.
4.3.6 Supplementary Results Concerning Complexification.
4.4 W*-algebras.
4.4.1 General Properties.
4.4.2 F as an E-submodule of E1.
4.4.3 Polar Representation.
4.4.4 W*-Homomorphisms.
Name Index. Subject Index. Symbol Index.
- Edition: 1
- Volume: 3
- Published: May 28, 2011
- Imprint: North Holland
- Language: English
CC
Corneliu Constantinescu
Affiliations and expertise
Departement Mathematik, ETH Zürich, CH-8092 Zürich, SwitzerlandRead General Theory of C*-Algebras on ScienceDirect