no. 12
Algebra
Characterizing type I C*-algebras via entropy
[Charactérisation des algèbres de type I par l'entropie.]
Présenté par : Alain Connes
Brown, Nathanial P.1
1 UC-Berkeley, Berkeley, CA 94720, USA
Comptes Rendus. Mathématique, Tome 339 (2004) no. 12, pp. 827-829

Let A be a separable unital C*-algebra. It is shown that A is type I if and only if the CNT-entropy of every inner automorphism of A is zero.

Soit A une C*-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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2004.06.030

Brown, Nathanial P. 1

1 UC-Berkeley, Berkeley, CA 94720, USA 
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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

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[3] K. Dykema, Topological entropy for some automorphisms of reduced amalgamated free product C*-algebras, Preprint

[4] S. Neshveyev, E. Størmer, Entropy in type I algebras, Preprint

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[6] Pedersen, G. C*-Algebras and Their Automorphism Groups, Academic Press, London, 1979

[7] E. Størmer, A survey of noncommutative dynamical entropy, Preprint

[8] Voiculescu, D. Almost inductive limit automorphisms and embeddings into AF-algebras, Ergodic Theory Dynamical Systems, Volume 6 (1986), pp. 475-484

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