Authors: Farah, Ilijas 
Hart, Bradd
Rørdam, Mikael
Tikuisis, Aaron
Title: Relative commutants of strongly self-absorbing C*-algebras
Journal: Selecta Mathematica, New Series
Volume: 23
Issue: 1
First page: 363
Last page: 387
Issue Date: 1-Jan-2017
Rank: M21
ISSN: 1022-1824
DOI: 10.1007/s00029-016-0237-y
Abstract: 
The relative commutant A′∩ AU of a strongly self-absorbing algebra A is indistinguishable from its ultrapower AU. 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-flip.
Keywords: Approximately inner half-flip | Central sequence algebra | Continuous model theory | Relative commutant | Strongly self-absorbing C -algebra ∗
Publisher: Springer Link

Show full item record

SCOPUSTM   
Citations

8
checked on Nov 27, 2022

Page view(s)

35
checked on Nov 27, 2022

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.