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math.OA2008★ 2 cited
The relative commutant of separable C*-algebras of real rank zero
Ilijas Farah
We answer a question of E. Kirchberg (personal communication): does the relative commutant of a separable C*-algebra in its ultrapower depend on the choice of the ultrafilter?
math.OA2008
The commutant of L(H) in its ultrapower may or may not be trivial
Ilijas Farah, N. Christopher Phillips, Juris Steprāns
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 th…