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Strong Solidity of the q-Gaussian Algebras for all -1 < q < 1
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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).
Forward citations
Cited by 3 Pith papers
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W*-correlations of II$_1$ factors and rigidity of tensor products and graph products
Different subsets F of {2,3,...} give groups G_F whose von Neumann algebras are not W*-correlated, hence not measure equivalent nor W*-equivalent.
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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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Curvature, Dolbeault-Dirac operators, and an $\mathrm{L}^p$-index theorem on compact K\"ahler manifolds
Proves L^p-index theorem for Dolbeault-Dirac operators on compact Kähler manifolds with index equal to holomorphic Euler characteristic χ(M,E) independent of p, using new abstract curvature bound for semigroups.
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