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Abelian subalgebras of von Neumann algebras.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
1971.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 110. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.