Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592561 | Journal of Functional Analysis | 2009 | 42 Pages |
Abstract
The notion of topological free entropy dimension of n-tuple 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 free orbit dimension of one self-adjoint element in a unital C∗ algebra. We also calculate the values of topological free entropy dimensions of any families of self-adjoint generators of some unital C∗ algebras, including irrational rotation C∗ algebra, UHF algebra, and minimal tensor product of two reduced C∗ algebras of free groups.
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