Topological Free Entropy Dimension of in Unital C^*-algebras

Details Topological Free Entropy Dimension of in Unital C^*-algebras Topological Free Entropy Dimension of in Unital C^*-algebras

2007-04-05

arxiv.org/abs/0704.0667v3

Mathematics

Operator Algebras

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Scientific paper

The notion of topological free entropy dimension of $n-$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).

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