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arXiv · 1605.06034

$q$-Araki-Woods algebras: extension of second quantisation and Haagerup approximation property

Mateusz Wasilewski
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Abstract

We extend the class of contractions for which the second quantisation on $q$-Araki-Woods algebras can be defined. As a corollary, we prove that all $q$-Araki-Woods algebras possess the Haagerup approximation property.

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Mateusz Wasilewski. 2016-05-19. $q$-Araki-Woods algebras: extension of second quantisation and Haagerup approximation property. https://arxiv.org/abs/1605.06034

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