Geodesic
On the Commutant of Certain Automorphism Groups
Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1165-1169

Voir la notice de l'article provenant de la source Cambridge University Press

Let be a W*-algebra, A ( ) the group of all automorphisms of . In this paper we have determined the commutant G’ of a subgroup G of A () for certain classes of G and . The main results are as follows.Theorem 1. If G is a locally compact abelian group acting by translation on the W*-algebra L ∞(G), then the commutant of a dense subgroup of G is G itself. 
Tam, P. K. On the Commutant of Certain Automorphism Groups. Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1165-1169. doi: 10.4153/CJM-1973-125-8
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[1] 1. Bures, D., Certain factors constructed as infinite tensor products, Compositio Math. 15 (1963), 169–191. Google Scholar

[2] 2. Bures, D., Abelian subalgebras of von Neumann algebras (to appear in Mem. Amer. Math. Soc). Google Scholar

[3] 3. Bures, D., An extension of Kautani's theorem on infinite product measures to the tensor product of semi-finite W*-algebras, Trans. Amer. Math. Soc. 135 (1969), 199–212. Google Scholar

[4] 4. Kakutani, S., On equivalence of infinite product measures, Ann. of Math. 49 (1948), 214–226. Google Scholar

[5] 5. Neumann, J. von, On infinite direct products, Compositio Math. 6 (1938), 1–77. Google Scholar

[6] 6. Pukánszky, L., Some examples of factors, Publ. Math. Debrecen 4 (1956), 135–156. Google Scholar

[7] 7. Tarn, P. K., On unitary equivalence of certain classes of non-normal operators, Can. J. Math. 23 (1971), 849–856. Google Scholar

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