C*-Algebras and Applications to Physics: Proceedings, Second by Edward G. Effros (auth.), Huzihiro Araki, Richard V. Kadison

By Edward G. Effros (auth.), Huzihiro Araki, Richard V. Kadison (eds.)

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Extra info for C*-Algebras and Applications to Physics: Proceedings, Second Japan-USA Seminar, Los Angeles, April 18–22, 1977

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H. Nakamura and T. Turumaru, Expectations in an operator algebra, Tohoku Math. , 6(1954), 182-188. 35. M. Nakamura and Z. Takeda, On some elementary properties of the crossed products of von Neumann algebras, Proc. , 34(1958}, 489-494. 36. and , A Galois theory for finite factors, Proc. Japan --Acad. ,36(1960), 258-260. 37. and , On the fundamental theorem of the Galois theory -----for finite factors, Proc. , 36(1960), 313-318. 38. T. Saito, The direct product and the crossed product of rings of operators, Tohoku Math.

3. W. Arveson, Analyticity in operator algebras, Amer. J. , 89 (1967), 578-642. 4. H. Behncke, Automorphisms of crossed products, Tohoku Hath. , 21(1969), 580-600. 5. H. , Proc. , 43(1967), 111-116. 6. , Proc. , 43(1967), 198-201. 7. On ergodic and abelian automorphism groups of von Neumann algebras, proc. , 47(1971), 982-985. 8. ' On freely acting automorphisms of operator algebras, KOdai Math. Sem. , 26(1974), 1-21. 9. ______, ' A Galois correspondence in a von Nernuann algebra, Preprint (1976) • 10.

G®A q and the final projection are contained in the center of isms of ing is a partial isometry, G®A contain- G®A. be a group of freely acting automorphisms If there exists a group H of automor- having the following properties; (1) h(1T(A» (2) H (3) h(A(g» = 1T(A) (hEH), is ergodic on 1T(A riA' ) and then there exists a groups of B G = A(g) (gEG, hEH), ono-to~ne correspondence between the class of sub- and the class of H-invariant intermediate subalgebras having a faithful normal expectation of associating with each subgroup K and, with the intermediate subalgebra (denoted by G®A onto B, obtained by the intermediate subalgebra B, the subgroup {gEG; A{g)SB} K(B».

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