摘要: We prove an analogue of Voiculescu's theorem: Relative bicommutant a separable unital subalgebra $A$ ultraproduct simple C*-algebras is equal to $A$.
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sci-hub.st 参考文章(25)
Ilijas Farah, Bradd Hart, Alistair Lachlan, Countable Saturation of Corona Algebras arXiv: Operator Algebras. ,(2011)
Huaxin Lin, Simple corona C^*-algebras Proceedings of the American Mathematical Society. ,vol. 132, pp. 3215- 3224 ,(2004) , 10.1090/S0002-9939-04-07607-5
Itaï Ben Yaacov, Alexander Berenstein, C. Ward Henson, Alexander Usvyatsov, Model theory for metric structures Model Theory with Applications to Algebra and Analysis. pp. 315- 427 ,(2008) , 10.1017/CBO9780511735219.011
Søren Eilers, Dorte Olesen, C-Algebras and Their Automorphism Groups ,(1979)
Stefan Heinrich, Ultraproducts in Banach space theory. Crelle's Journal. ,vol. 313, pp. 72- 104 ,(1980)
Nathanial P. Brown, Wilhelm Winter, Stuart White, Joan Bosa, Yasuhiko Sato, Aaron Tikuisis, Covering dimension of C*-algebras and 2-coloured classification arXiv: Operator Algebras. ,(2015)
Edward G. Effros, Uffe Haagerup, Lifting problems and local reflexivity for $C^\ast$-algebras Duke Mathematical Journal. ,vol. 52, pp. 103- 128 ,(1985) , 10.1215/S0012-7094-85-05207-X
Andrew S. Toms, Wilhelm Winter, Strongly self-absorbing C*-algebras Transactions of the American Mathematical Society. ,vol. 359, pp. 3999- 4029 ,(2007) , 10.1090/S0002-9947-07-04173-6
J. M. G. Fell, The dual spaces of *-algebras Transactions of the American Mathematical Society. ,vol. 94, pp. 365- 403 ,(1960) , 10.1090/S0002-9947-1960-0146681-0
William Arveson, Notes on extensions of $C^*$ -algebras Duke Mathematical Journal. ,vol. 44, pp. 329- 355 ,(1977) , 10.1215/S0012-7094-77-04414-3