UID:
almahu_9947366787102882
Umfang:
1 online resource (691 p.)
ISBN:
1-281-76649-6
,
9786611766498
,
0-08-087417-7
Serie:
Pure and applied mathematics ; 100,Part 2
Inhalt:
Fundamentals of the theory of operator algebras. V2
Anmerkung:
Description based upon print version of record.
,
Front Cover; Fundamentals of the Theory of Operator Algebras; Copyringt Page; Contents; Preface; Contents of Volume I; Chapter 6. Comparison Theory of Projection; 6.1. Polar decomposition and equivalence; 6.2. Ordering; 6.3. Finite and infinite projections; 6.4. Abelian projections; 6.5. Type decomposition; 6.6. Type I algebras; 6.7. Examples; 6.8. Ideals; 6.9. Exercises; Chapter 7. Normal States and Unitary Equivalence of von Neumann Algebras; 7.1. Completely additive states; 7.2. Vector states and unitary implementation; 7.3. A second approach to normal states; 7.4. The predual
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7.5. Normal weights on von Neumann algebras7.6. Exercises; Chapter 8. The Trace; 8.1. Traces; 8.2. The trace in finite algebras; 8.3. The Dixmier approximation theorem; 8.4. The dimension function; 8.5. Tracial weights on factors; 8.6. Further examples of factors; 8.7. Exercises; Chapter 9. Algebra and Commutant; 9.1. The type of the commutant; 9.2. Modular theory; 9.3. Unitary equivalence of type I algebras; 9.4. Abelian von Neumann algebras; 9.5. Spectral multiplicity; 9.6. Exercises; Chapter 10. Special Representation of C*- Algebras; 10.1. The universal representation
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10.2. Irreducible representations10.3. Disjoint representations; 10.4. Examples; 10.5. Exercises; Chapter 11. Tensor Products; 11.1. Tensor products of represented C*-algebras; 11.2. Tensor products of von Neumann algebras; 11.3. Tensor products of abstract C*-algebras; 11.4. Infinite tensor products of C*-algebras; 11.5. Exercises; Chapter 12. Approximation by Matrix Algebras; 12.1. Isomorphism of uniformly matricial algebras; 12.2. The finite matricial factor; 12.3. States and representations of matricial C*-algebras; 12.4. Exercises; Chapter 13. Crossed Products
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13.1. Discrete crossed products13.2. Continuous crossed products; 13.3. Crossed products by modular automorphism groups; 13.4. Exercises; Chapter 14. Direct Integrals and Decompositions; 14.1. Direct integrals; 14.2. Decompositions relative to abelian algebras; 14.3. Appendix-Borel mappings and analytic sets; 14.4. Exercises; Bibliography; Index of Notation; Index
,
English
Weitere Ausg.:
ISBN 0-12-393302-1
Sprache:
Englisch
