TY  - BOOK
AU  - Segal,I.E.
TI  - Decompositions of Operator Algebras, 1 and 2
T2  - Memoirs of the American Mathematical Society
SN  - 9781470400392
AV  - QA329.S44 1951 
PY  - 1951///
CY  - Providence
PB  - American Mathematical Society
KW  - Algebra
KW  - Electronic books
N1  - Intro -- DECOMPOSITIONS OF OPERATOR ALGEBRAS. I -- 1. Introduction -- 2. Definitions and notations -- 3. Decomposition of &amp -- state relative to ia commutative algebra -- 4. Direct integrals of Hilbert spaces -- 5. Maximal decompositions -- 6. Decomposition of a W*-algebra into factors -- 7. Decomposition of a group representation into irreducible representations -- 8. Decomposition of an invariant measure Into ergodic parts -- 9. The Fourier transform for separable unimodular groups -- 10. Deflation of decompositions -- References -- DECOMPOSITIONS OF OPERATOR ALGEBRAS. II -- 1. Introduction -- PART II. COMMUTATIVE ALGEBRAS -- 2. Definitions and technical preliminaries -- 3. Structure of maximal abelian W*-algebras -- 4. Structure of commutative W*-algebras -- 5. Unitary invariants of commutative W-ft-algebras and of SA operators -- 6. Applications -- PART II. NON-COMMUTATIVE ALGEBRAS -- 7. Decomposition theory -- 8. Algebras of uniform multiplicity -- 9. Algebras of type I -- References
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113552
ER  -