q-Araki-Woods algebras: extension of second quantisation and Haagerup approximation property
classification
🧮 math.OA
keywords
algebrasaraki-woodsapproximationhaageruppropertyquantisationsecondclass
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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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