The von Neumann algebras generated by \(t\)-Gaussians
From MaRDI portal
Publication:2488759
DOI10.5802/aif.2190zbMath1116.46056arXivmath/0601557OpenAlexW1617438040MaRDI QIDQ2488759
Publication date: 15 May 2006
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0601557
orthogonal polynomialsconditional free productgenerated von Neumann algebraR and G transformst-deformed Fock spacet-Gaussians
Related Items
Two-state free Brownian motions, Noncommutative probability of type D, On truncated \(t\)-free Fock spaces: spectrum of position operators and shift-invariant states, Free Meixner states, Fock space associated to Coxeter groups of type B
Cites Work
- Free products of completely positive maps and spectral sets
- An example of a non nuclear C*-algebra, which has the metric approximation property
- Faithfulness of free product states
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Convolution and limit theorems for conditionally free random variables
- Non-injectivity of the \(q\)-deformed von Neumann algebra
- Factoriality of \(q\)-Gaussian von Neumann algebras
- Free Random Variables
- Interacting Fock Spaces and Gaussianization of Probability Measures
- Completely positive maps on amalgamated product $C^*$-algebras.
- Operator-valued version of conditionally free product
- Remarks on \(t\)-transformations of measures and convolutions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
