1 1 M ar 2 01 6 RELATIVE COMMUTANTS OF STRONGLY SELF - ABSORBING C ∗ - ALGEBRAS
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چکیده
The relative commutant A∩A of a strongly self-absorbing algebra A is indistinguishable from its ultrapower A . This applies both to the case when A is the hyperfinite II1 factor and to the case when it is a strongly self-absorbing C-algebra. In the latter case we prove analogous results for l∞(A)/c0(A) and reduced powers corresponding to other filters on N. Examples of algebras with approximately inner flip and approximately inner half-flip are provided, showing the optimality of our results. We also prove that strongly self-absorbing algebras are smoothly classifiable, unlike the algebras with approximately inner half-
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تاریخ انتشار 2016