Abelian subalgebras of von Neumann algebras / [electronic resource] by Donald Bures.
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TextSeries: Memoirs of the American Mathematical Society ; no. 110.Publication details: Providence, R.I. : American Mathematical Society, 1971Description: 1 online resource (127 p.)ISBN: 9780821899076 (online)Subject(s): Abelian groups | Von Neumann algebras | Automorphic functions | Transformations (Mathematics)Additional physical formats: Abelian subalgebras of von Neumann algebras /LOC classification: QA3 | .A57 no. 110Online resources: Contents | Contents 
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|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12563 |
Includes bibliographical references.
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
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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