Strong Solidity of the q-Gaussian Algebras for all -1 < q < 1

2011/10/21 by Avsec, Stephen · 2 citations
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1110.4918

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 ∈ [-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 ∈ (-1, 1).

Cited by

• Structural and non-isomorphism results for q-Araki-Woods factors
• W*-correlations of II₁ factors and rigidity of tensor products and graph products

Related

• Generalized q-Gaussian von Neumann algebras with coefficients, I. Relative strong solidity
• Maximal amenability of the generator subalgebra in q-Gaussian von Neumann algebras
• Ultraproduct methods for mixed q-Gaussian algebras
• Factoriality of q-Gaussian von Neumann algebras
• Biexact von Neumann algebras