The commutant of L(H) in its ultrapower may or may not be trivial
classification
🧮 math.OA
math.LO
keywords
commutanttrivialultrapoweransweraskedassumingchoicecontinnuum
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Kirchberg asked in 2004 whether the commutant of L(H)$ in its (norm) ultrapower is trivial. Assuming the Continnuum Hypothesis, we prove that the answer depends on the choice of the ultrafilter.
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