Topological Free Entropy Dimension of in Unital C^*-algebras
Operator Algebras
2007-08-21 v3
Abstract
The notion of topological free entropy dimension of tuples of elements in a unital C algebra was introduced by Voiculescu. In the paper, we compute topological free entropy dimension of one self-adjoint element and topological orbit dimension of one self-adjoint element in a unital C algebra. Moreover, we calculate the values of topological free entropy dimensions of families of generators of some unital C algebras (for example: irrational rotation C algebras or minimal tensor product of two reduced C algebras of free groups).
Keywords
Cite
@article{arxiv.0704.0667,
title = {Topological Free Entropy Dimension of in Unital C^*-algebras},
author = {Don Hadwin and Junhao Shen},
journal= {arXiv preprint arXiv:0704.0667},
year = {2007}
}
Comments
Materials added