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

Wasilewski, Mateusz

doi:10.1090/proc/13681

$q$-Araki-Woods algebras: Extension of second quantisation and Haagerup approximation property
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Proc. Amer. Math. Soc. 145 (2017), 5287-5298 Request permission

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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