On a duality for crossed products of C∗-algebras
作者： Hiroshi Takai
DOI: 10.1016/0022-1236(75)90004-X
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摘要: Abstract Let U be a C∗-algebra, and G locally compact abelian group. Suppose α is continuous action of on . Then there exists \ ga the dual group C∗-crossed product by such that isomorphic to tensor C∗-algebra all operators L2(G).
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sci-hub.se 参考文章(12)
A. Guichardet, Tensor products of C[*]-algebras Århus Universitet, Matematisk Institut. ,(1969)
Masamichi Takesaki, Covariant representations of C*-algebras and their locally compact automorphism groups Acta Mathematica. ,vol. 119, pp. 273- 303 ,(1967) , 10.1007/BF02392085
Masamichi Takesaki, On the cross-norm of the direct product of $C^{\ast}$-algebras Tohoku Mathematical Journal. ,vol. 16, pp. 111- 122 ,(1964) , 10.2748/TMJ/1178243737
Takateru Okayasu, On the tensor products of $C^{\ast}$-algebras Tohoku Mathematical Journal. ,vol. 18, pp. 325- 331 ,(1966) , 10.2748/TMJ/1178243423
Sergio Doplicher, Daniel Kastler, Derek W. Robinson, Covariance algebras in field theory and statistical mechanics Communications in Mathematical Physics. ,vol. 3, pp. 1- 28 ,(1966) , 10.1007/BF01645459
Jacques Dixmier, Les C*-algèbres et leurs représentations .. ,(1964)
Masamichi Takesaki, A liminal crossed product of a uniformly hyperfinite C∗-algebra by a compact Abelian automorphism group Journal of Functional Analysis. ,vol. 7, pp. 140- 146 ,(1971) , 10.1016/0022-1236(71)90049-8
L. H. Loomis, Note on a theorem of Mackey Duke Mathematical Journal. ,vol. 19, pp. 641- 645 ,(1952) , 10.1215/S0012-7094-52-01968-6
Masamichi Takesaki, Duality for crossed products and the structure of von Neumann algebras of type III Acta Mathematica. ,vol. 131, pp. 249- 310 ,(1973) , 10.1007/BF02392041
Alexandre Grothendieck, Produits Tensoriels Topologiques Et Espaces Nucleaires ,(1966)