$q$-Araki-Woods algebras: extension of second quantisation and Haagerup approximation property
Operator Algebras
2019-05-30 v3
Abstract
We extend the class of contractions for which the second quantisation on -Araki-Woods algebras can be defined. As a corollary, we prove that all -Araki-Woods algebras possess the Haagerup approximation property.
Keywords
Cite
@article{arxiv.1605.06034,
title = {$q$-Araki-Woods algebras: extension of second quantisation and Haagerup approximation property},
author = {Mateusz Wasilewski},
journal= {arXiv preprint arXiv:1605.06034},
year = {2019}
}
Comments
v2: expanded introduction, Conjecture from Section 3 is now Theorem 3.6; 10 pages