TY  - BOOK
AU  - Bures,Donald
TI  - Abelian subalgebras of von Neumann algebras
T2  - Memoirs of the American Mathematical Society, 
SN  - 9780821899076 (online)
AV  - QA3 .A57 no. 110
PY  - 1971///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Abelian groups
KW  - Von Neumann algebras
KW  - Automorphic functions
KW  - Transformations (Mathematics)
N1  - 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0110
UR  - http://dx.doi.org/10.1090/memo/0110
ER  -