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

Autor:	Mateusz Wasilewski
Rok vydání:	2017
Předmět:	Class (set theory) Pure mathematics 46L10 Mathematics::Operator Algebras Approximation property Applied Mathematics General Mathematics Mathematics - Operator Algebras Extension (predicate logic) Physics::Classical Physics Corollary FOS: Mathematics Operator Algebras (math.OA) Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 145:5287-5298
ISSN:	1088-6826 0002-9939
Popis:	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. v2: expanded introduction, Conjecture from Section 3 is now Theorem 3.6; 10 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00361bef9b75c16f7198d4c418d7d5e1 https://doi.org/10.1090/proc/13681 Zobrazit plný text záznamu