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Amenability and uniqueness |
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| Authors: | A Ciuperca T Giordano PW Ng Z Niu |
| Institution: | 1. S&P Capital IQ, 110 Spadina Ave, 9th Fl., Toronto, ON, M5V 2K4, Canada;2. Department of Mathematics and Statistics, University of Ottawa, 585 King Edward Avenue, Ottawa, Ontario, K1N 6N5, Canada;3. Department of Mathematics, University of Louisiana at Lafayette, 217 Maxim D. Doucet Hall, P.O. Box 41010, Lafayette, LA, 70504-1010, USA;4. Department of Mathematics, University of Wyoming, Laramie, WY, 82071, USA |
| Abstract: | The main result of this paper is a characterization of properly infinite injective von Neumann algebras and of nuclear C∗-algebras by using a uniqueness theorem, based on generalizations of Voiculescu’s famous Weyl–von Neumann theorem. |
| Keywords: | 46L05 46L10 |
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