Perturbations of von Neumann subalgebras with finite index
作者： S. Ino
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摘要: In this paper, we study uniform perturbations of von Neumann subalgebras a algebra. Let N and M be algebra with finite probabilistic index in the sense Pimsner-Popa. If are sufficiently close, then unitarily equivalent. The implementing unitary can chosen as being close to identity.
arxiv.org参考文章(18)
Mihai Pimsner, Sorin Popa, Entropy and index for subfactors Annales Scientifiques De L Ecole Normale Superieure. ,vol. 19, pp. 57- 106 ,(1986) , 10.24033/ASENS.1504
Yasuo Watatani, Shoji Ino, Perturbations of intermediate C*-subalgebras for simple C*-algebras Bulletin of The London Mathematical Society. ,vol. 46, pp. 469- 480 ,(2014) , 10.1112/BLMS/BDU001
Mahmood Khoshkam, On the unitary equivalence of close $C^\ast$-algebras. The Michigan Mathematical Journal. ,vol. 31, pp. 331- 338 ,(1984) , 10.1307/MMJ/1029003077
Jan Cameron, Erik Christensen, Allan M. Sinclair, Roger R. Smith, Stuart White, Alan D. Wiggins, Kadison-Kastler stable factors arXiv: Operator Algebras. ,(2012) , 10.1215/00127094-2819736
John Phillips, Perturbations of type I von Neumann algebras Pacific Journal of Mathematics. ,vol. 52, pp. 505- 511 ,(1974) , 10.2140/PJM.1974.52.505
Liam Dickson, A Kadison–Kastler row metric and intermediate subalgebras International Journal of Mathematics. ,vol. 25, pp. 1450082- ,(2014) , 10.1142/S0129167X14500827
Erik Christensen, Perturbation of operator algebras Inventiones Mathematicae. ,vol. 43, pp. 1- 13 ,(1977) , 10.1007/BF01390201
V. F. R. Jones, Index for subfactors Inventiones Mathematicae. ,vol. 72, pp. 1- 25 ,(1983) , 10.1007/BF01389127
B. E. Johnson, Perturbations of Banach Algebras Proceedings of the London Mathematical Society. ,vol. s3-34, pp. 439- 458 ,(1977) , 10.1112/PLMS/S3-34.3.439
Iain Raeburn, Joseph L Taylor, Hochschild cohomology and perturbations of Banach algebras Journal of Functional Analysis. ,vol. 25, pp. 258- 266 ,(1977) , 10.1016/0022-1236(77)90072-6