Bures, Donald.
Abelian subalgebras of von Neumann algebras / [electronic resource] by Donald Bures. - Providence, R.I. : American Mathematical Society, 1971. - 1 online resource (127 p.) - Memoirs of the American Mathematical Society, v. 110 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 110. .
Includes bibliographical references.
Introduction Remarks on notation Part I. Multiplicity in factors of type $\textrm _1$ 1. The multiplicity of a projection 2. The normal case 3. The general case Part II. The von Neumann construction of factors 4. $\mathcal $-groups with $\mathcal $ abelian 5. $\mathcal $-groups 6. Subalgebras $\mathcal $ of $\mathcal $ with $\mathcal $ strongly finite over $\mathcal $ 7. Substantial subalgebras 8. Relations between the type of $\mathcal $ and the type of $G(\mathcal )$ 9. Construction of $\mathcal $ containing a substantial subalgebra $\mathcal $ with $G(\mathcal )$ a given full $\mathcal $-group Part III. Thick subalgebras 10. Elementary properties 11. Strong orthogonality 12. A method for constructing thick subalgebras 13. Methods for determining the deficiency type and the multiplicity function 14. Dixmier's example 15. Some examples of thick subalgebras
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821899076 (online)
Abelian groups
Von Neumann algebras
Automorphic functions
Transformations (Mathematics)
QA3 / .A57 no. 110
Abelian subalgebras of von Neumann algebras / [electronic resource] by Donald Bures. - Providence, R.I. : American Mathematical Society, 1971. - 1 online resource (127 p.) - Memoirs of the American Mathematical Society, v. 110 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 110. .
Includes bibliographical references.
Introduction Remarks on notation Part I. Multiplicity in factors of type $\textrm _1$ 1. The multiplicity of a projection 2. The normal case 3. The general case Part II. The von Neumann construction of factors 4. $\mathcal $-groups with $\mathcal $ abelian 5. $\mathcal $-groups 6. Subalgebras $\mathcal $ of $\mathcal $ with $\mathcal $ strongly finite over $\mathcal $ 7. Substantial subalgebras 8. Relations between the type of $\mathcal $ and the type of $G(\mathcal )$ 9. Construction of $\mathcal $ containing a substantial subalgebra $\mathcal $ with $G(\mathcal )$ a given full $\mathcal $-group Part III. Thick subalgebras 10. Elementary properties 11. Strong orthogonality 12. A method for constructing thick subalgebras 13. Methods for determining the deficiency type and the multiplicity function 14. Dixmier's example 15. Some examples of thick subalgebras
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821899076 (online)
Abelian groups
Von Neumann algebras
Automorphic functions
Transformations (Mathematics)
QA3 / .A57 no. 110