Factoriality of q-Araki-Woods von Neumann algebras

分析学研讨班

题目：Factoriality of q-Araki-Woods von Neumann algebras

报告人：Manish Kumar（波兰科学院数学研究所）

时间：9月13日（星期三），14:30-16:00

地点：明德楼B201-1

Zoom会议，会议号：945 2536 6360，密码：461559

摘要：We discuss the factoriality, non-injectivity, and fullness question of q-Araki-Woods von Neumann algebras, constructed by Hiai. These algebras are non-tracial coun-terparts of q-Gaussian algebras, which combine the q-deformations of free group fac-tors due to Bozejko-Kummerer-Spiecher, and quasi-free deformations of Shlyakht-enko. We will discuss our approach using conjugate/dual variables in order to solve the mentioned problems. This is joint work with Adam Skalski and Mateusz Wasilewski.

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