TY - JOUR
T1 - A characterization of the fullness of continuous cores of type III1 free product factors
AU - Tomatsu, Reiji
AU - Ueda, Yoshimichi
N1 - Publisher Copyright:
© 2016 by Kyoto University.
PY - 2016/9
Y1 - 2016/9
N2 - We prove that, for any type III1 free product factor, its continuous core is full if and only if its τ-invariant is the usual topology on the real line. This trivially implies, as a particular case, the same result for free Araki-Woods factors. Moreover, our method shows the same result for full (generalized)Bernoulli crossed product factors of type III1.
AB - We prove that, for any type III1 free product factor, its continuous core is full if and only if its τ-invariant is the usual topology on the real line. This trivially implies, as a particular case, the same result for free Araki-Woods factors. Moreover, our method shows the same result for full (generalized)Bernoulli crossed product factors of type III1.
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U2 - 10.1215/21562261-3600193
DO - 10.1215/21562261-3600193
M3 - Article
AN - SCOPUS:84983499030
SN - 2156-2261
VL - 56
SP - 599
EP - 610
JO - Kyoto Journal of Mathematics
JF - Kyoto Journal of Mathematics
IS - 3
ER -