On the Factoriality of q-Deformed Araki-Woods von Neumann Algebras-Reference-Cited by-同舟云学术

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On the Factoriality of q-Deformed Araki-Woods von Neumann Algebras

Published:2022-12-14 Issue:2 Volume:398 Page:797-821
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Bikram Panchugopal,Mukherjee Kunal,Ricard Éric,Wang Simeng

Funder

Indo-French Centre for the Promotion of Advanced Research

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s00220-022-04535-2.pdf

Reference32 articles.

1. Avesec, S.: Strong solidity of the $$q$$-Gaussian algebras for all -1$${<}q{<}$$1, preprint, arXiv arXiv:1110.4918 (2011)

2. Bikram, P., Mukherjee, K.: Generator masas in $$q$$-deformed Araki-Woods von Neumann algebras and factoriality. J. Funct. Anal. 273(4), 1443–1478 (2017)

3. Bikram, P., Mukherjee, K.: On the commutants of generators of $$q$$-deformed Araki-Woods von Neumann algebras. Publ. Res. Inst. Math. Sci. 58(3), 451–471 (2022)

4. Boutonnet, R., Houdayer, C., Vaes, S.: Strong solidity of free Araki-Woods factors. Am. J. Math. 140(5), 1231–1252 (2018)

5. Bożejko, M.: Ultracontractivity and strong Sobolev inequality for $$q$$-Ornstein–Uhlenbeck semigroup (-1$$< q<$$ 1). Infin. Dimens. Anal. Quantum Probab. Relat. Top. 2(2), 203–220 (1999)

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1. A Conjugate System for Twisted Araki–Woods von Neumann Algebras of Finite Dimensional Spaces;International Mathematics Research Notices;2024-07-05

2. Conjugate variables approach to mixed q-Araki–Woods algebras: Factoriality and non-injectivity;Journal of Mathematical Physics;2023-09-01

3. Mixed $q$-deformed Araki–Woods von Neumann algebras;Journal of Noncommutative Geometry;2023-08-30

4. Factoriality of mixed q-deformed Araki-Woods von Neumann algebras;Infinite Dimensional Analysis, Quantum Probability and Related Topics;2023-08-29

5. Full Solution of the Factoriality Question for q-Araki-Woods von Neumann Algebras Via Conjugate Variables;Communications in Mathematical Physics;2023-06-10

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