2008/04/03 by Li, Weihua, Shen, Junhao
#46L05 #FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.0804.0465
Let \mathcal A be a separable, unital, approximately divisible C^*-algebra. We show that \mathcal A is generated by two self-adjoint elements and the topological free entropy dimension of any finite generating set of \mathcal A is less than or equal to 1. In addition, we show that the similarity degree of \mathcal A is at most 5. Thus an approximately divisible C^*-algebra has an affirmative answer to Kadison's similarity problem.