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The commutant of L(H) in its ultrapower may or may not be trivial |
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| Authors: | Ilijas Farah N Christopher Phillips Juris Steprāns |
| Institution: | 1. Department of Mathematics and Statistics, York University, 4700 Keele Street, North York, ON, M3J 1P3, Canada 2. Matematicki Institut, Kneza Mihaila 34, Belgrade, Serbia 3. Department of Mathematics, University of Oregon, Eugene, OR, 97403-1222, USA 4. Fields Institute, 222 College Street, Toronto, ON, Canada |
| Abstract: | Kirchberg asked in 2004 whether the commutant of L(H) in its (norm) ultrapower is trivial. Assuming the Continuum Hypothesis, we prove that the answer depends on the choice of the ultrafilter. |
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