Topological free entropy dimension in unital C-algebras |
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Authors: | Don Hadwin |
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Affiliation: | Department of Mathematics and Statistics, University of New Hampshire, Durham, NH 03824, United States |
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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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Keywords: | Topological free entropy dimension C&lowast algebra |
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