q-Gaussian C*-algebras for |q|<1 are shown to satisfy the Dixmier averaging property and therefore are simple with a unique trace, via rapid decay and spectral gap estimates from free probability.
Strong Solidity of the q-Gaussian Algebras for all -1 < q < 1
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The main result of this paper is to establish the weak* completely contractive approximation property (w*CCAP) for the q-Gaussian algebras for all values of q \in [-1, 1] and any number of generators. We use this to establish that the q-Gaussian algebras are strongly solid in the sense of Popa and Ozawa for q \in (-1, 1).
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Simplicity of q-Gaussian C*-algebras
q-Gaussian C*-algebras for |q|<1 are shown to satisfy the Dixmier averaging property and therefore are simple with a unique trace, via rapid decay and spectral gap estimates from free probability.
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