TY - JOUR
T1 - A remark on orbital free entropy
AU - Ueda, Yoshimichi
N1 - Funding Information:
Supported by Japan Society for the Promotion of Science (Grant-in-Aid for Challenging Exploratory Research 16K13762).
Publisher Copyright:
© 2017, Springer International Publishing.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - A lower estimate of the orbital free entropy χorb under unitary conjugation is proved, and it together with Voiculescu’s observation shows that the conjectural exact formula relating χorb to the free entropy χ breaks in general in contrast to the case when given random multi-variables are all hyperfinite.
AB - A lower estimate of the orbital free entropy χorb under unitary conjugation is proved, and it together with Voiculescu’s observation shows that the conjectural exact formula relating χorb to the free entropy χ breaks in general in contrast to the case when given random multi-variables are all hyperfinite.
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U2 - 10.1007/s00013-017-1035-2
DO - 10.1007/s00013-017-1035-2
M3 - Article
AN - SCOPUS:85017124277
SN - 0003-889X
VL - 108
SP - 629
EP - 638
JO - Archiv der Mathematik
JF - Archiv der Mathematik
IS - 6
ER -