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Abelian Subalgebras of Von Neumann Algebras
| eBook ISBN: | 978-0-8218-9907-6 |
| Product Code: | MEMO/1/110.E |
| List Price: | $20.00 |
| MAA Member Price: | $18.00 |
| AMS Member Price: | $12.00 |
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Abelian Subalgebras of Von Neumann Algebras
| eBook ISBN: | 978-0-8218-9907-6 |
| Product Code: | MEMO/1/110.E |
| List Price: | $20.00 |
| MAA Member Price: | $18.00 |
| AMS Member Price: | $12.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 1; 1971; 127 ppMSC: Primary 46; Secondary 28; 47
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Table of Contents
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Chapters
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Introduction
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Remarks on notation
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Part I. Multiplicity in factors of type $\textrm {II}_1$
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1. The multiplicity of a projection
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2. The normal case
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3. The general case
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Part II. The von Neumann construction of factors
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4. $\mathcal {M}$-groups with $\mathcal {M}$ abelian
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5. $\mathcal {M}$-groups
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6. Subalgebras $\mathcal {M}$ of $\mathcal {A}$ with $\mathcal {A}$ strongly finite over $\mathcal {M}$
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7. Substantial subalgebras
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8. Relations between the type of $\mathcal {A}$ and the type of $G(\mathcal {A,M})$
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9. Construction of $\mathcal {A}$ containing a substantial subalgebra $\mathcal {M}$ with $G(\mathcal {A,M})$ a given full $\mathcal {M}$-group
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Part III. Thick subalgebras
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10. Elementary properties
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11. Strong orthogonality
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12. A method for constructing thick subalgebras
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13. Methods for determining the deficiency type and the multiplicity function
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14. Dixmier’s example
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15. Some examples of thick subalgebras
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
Volume: 1; 1971; 127 pp
MSC: Primary 46; Secondary 28; 47
-
Chapters
-
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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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