pith. sign in

arxiv: 1110.4918 · v3 · pith:R66QVBJVnew · submitted 2011-10-21 · 🧮 math.OA

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

Stephen Avsec This is my paper
classification 🧮 math.OA
keywords algebrasq-gaussianestablishapproximationccapcompletelycontractivegenerators
0
0 comments X
read the original 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).

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Simplicity of q-Gaussian C*-algebras

    math.OA 2026-06 unverdicted novelty 6.0

    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.

  2. Curvature, Dolbeault-Dirac operators, and an $\mathrm{L}^p$-index theorem on compact K\"ahler manifolds

    math.FA 2024-01 unverdicted novelty 6.0

    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.