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Abelian subalgebras of von Neumann algebras [electronic resource] / by Donald Bures

Author
Bures, Donald
Published
Providence, R.I. : American Mathematical Society, 1971.
Physical Description
1 online resource (127 pages)
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Contents
Introduction Remarks on notation Part I. Multiplicity in factors of type $\textrm {II}_1$ 1. The multiplicity of a projection 2. The normal case 3. The general case Part II. The von Neumann construction of factors 4. $\mathcal {M}$-groups with $\mathcal {M}$ abelian 5. $\mathcal {M}$-groups 6. Subalgebras $\mathcal {M}$ of $\mathcal {A}$ with $\mathcal {A}$ strongly finite over $\mathcal {M}$ 7. Substantial subalgebras 8. Relations between the type of $\mathcal {A}$ and the type of $G(\mathcal {A,M})$ 9. Construction of $\mathcal {A}$ containing a substantial subalgebra $\mathcal {M}$ with $G(\mathcal {A,M})$ a given full $\mathcal {M}$-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
Subject(s)
ISBN
9780821899076 (online)
Note
AVAILABLE ONLINE TO AUTHORIZED PSU USERS.
Bibliography Note
Includes bibliographical references.
Reproduction Note
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Technical Details
Mode of access : World Wide Web
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