Soit A une -algèbre avec unité, séparable, nous montrons que A est de type I si et seulement si la CNT-entropie de tout automorphisme intérieur de A est nulle.
Let A be a separable unital -algebra. It is shown that A is type I if and only if the CNT-entropy of every inner automorphism of A is zero.
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@article{CRMATH_2004__339_12_827_0, author = {Brown, Nathanial P.}, title = {Characterizing type {I} $ {C}^{*}$-algebras via entropy}, journal = {Comptes Rendus. Math\'ematique}, pages = {827--829}, publisher = {Elsevier}, volume = {339}, number = {12}, year = {2004}, doi = {10.1016/j.crma.2004.06.030}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2004.06.030/} }
TY - JOUR AU - Brown, Nathanial P. TI - Characterizing type I $ {C}^{*}$-algebras via entropy JO - Comptes Rendus. Mathématique PY - 2004 SP - 827 EP - 829 VL - 339 IS - 12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2004.06.030/ DO - 10.1016/j.crma.2004.06.030 LA - en ID - CRMATH_2004__339_12_827_0 ER -
%0 Journal Article %A Brown, Nathanial P. %T Characterizing type I $ {C}^{*}$-algebras via entropy %J Comptes Rendus. Mathématique %D 2004 %P 827-829 %V 339 %N 12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2004.06.030/ %R 10.1016/j.crma.2004.06.030 %G en %F CRMATH_2004__339_12_827_0
Brown, Nathanial P. Characterizing type I $ {C}^{*}$-algebras via entropy. Comptes Rendus. Mathématique, Tome 339 (2004) no. 12, pp. 827-829. doi : 10.1016/j.crma.2004.06.030. http://archive.numdam.org/articles/10.1016/j.crma.2004.06.030/
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