Characterizing Type I C*-algebras via Entropy
Nathanial P. Brown
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.
Abstract for MSRI Preprint 2000-023Characterizing Type I C*-algebras via EntropyNathanial P. Brown 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. |