$q$-Araki-Woods algebras: Extension of second quantisation and Haagerup approximation property
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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.References
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Additional Information
- Mateusz Wasilewski
- Affiliation: Institute of Mathematics of the Polish Academy of Sciences, ul. Śniadeckich 8, 00-656 Warszawa, Poland
- MR Author ID: 1146862
- Email: mwasilewski@impan.pl
- Received by editor(s): October 12, 2016
- Received by editor(s) in revised form: January 18, 2017
- Published electronically: July 20, 2017
- Additional Notes: The author was partially supported by the NCN (National Centre of Science) grant 2014/14/E/ST1/00525 and acknowledges support by the French MAEDI and MENESR and by the Polish MNiSW through the Polonium programme
- Communicated by: Adrian Ioana
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 5287-5298
- MSC (2010): Primary 46L10
- DOI: https://doi.org/10.1090/proc/13681
- MathSciNet review: 3717957