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The commutant of L(H) in its ultrapower may or may not be trivial. (English) Zbl 1200.46049
Summary: E. Kirchberg [Abel Symposia 1, 175–231 (2006; Zbl 1118.46054)] asked 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.
46L05General theory of C * -algebras
03E50Continuum hypothesis; Martin’s axiom (logic)
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