Mixed -deformed Araki–Woods von Neumann algebras

P Bikram, R Kumar, K Mukherjee - Journal of Noncommutative Geometry, 2023 - ems.press
Mixed q-deformed Araki–Woods von Neumann algebras Page 1 J. Noncommut. Geom. 17 (2023),
1231–1297 DOI 10.4171/JNCG/513 © 2023 European Mathematical Society Published by …

Full Solution of the Factoriality Question for q-Araki-Woods von Neumann Algebras Via Conjugate Variables

M Kumar, A Skalski, M Wasilewski - Communications in Mathematical …, 2023 - Springer
We establish factoriality of q-Araki-Woods von Neumann algebras (with the number of
generators at least two) in full generality, exploiting the approach via conjugate variables …

A Conjugate System for Twisted Araki–Woods von Neumann Algebras of Finite Dimensional Spaces

Z Yang - International Mathematics Research Notices, 2024 - academic.oup.com
We compute the conjugate system of twisted Araki–Woods von Neumann algebras
introduced in for a compatible braided crossing symmetric twist on a finite dimensional …

Conjugate variables approach to mixedq-Araki–Woods algebras: Factoriality and non-injectivity

M Kumar - Journal of Mathematical Physics, 2023 - pubs.aip.org
We establish factoriality and non-injectivity in full generality for the mixed q-Araki–Woods
von Neumann algebra associated to a separable real Hilbert space HR with dim HR≥ 2⁠, a …

Operator-Valued Twisted Araki-Woods Algebras

M Wirth - arXiv preprint arXiv:2406.06179, 2024 - arxiv.org
We introduce operator-valued twisted Araki-Woods algebras. These are operator-valued
versions of a class of second quantization algebras that includes $ q $-Gaussian and $ q …

Connes' Bicentralizer Problem for Mixed -deformed Araki-Woods Algebras

P Bikram - arXiv preprint arXiv:2410.09490, 2024 - arxiv.org
arXiv:2410.09490v1 [math.OA] 12 Oct 2024 Page 1 arXiv:2410.09490v1 [math.OA] 12 Oct 2024
CONNES’ BICENTRALIZER PROBLEM FOR MIXED q-DEFORMED ARAKI-WOODS …

On the simplicity of certain mixed q-deformed Araki-Woods C⁎-algebras

M Mandal, K Mukherjee, I Patri - Journal of Mathematical Analysis and …, 2025 - Elsevier
The mixed q-deformed Araki-Woods C⁎-algebras are simple when the underlying Hilbert
space in the construction is infinite-dimensional and the analytic generator of the associated …

Complete Metric Approximation Property For Mixed -Deformed Araki-Woods Factors

P Bikram, R Mohanta, KK Mukherjee - arXiv preprint arXiv:2407.10619, 2024 - arxiv.org
The main result of this paper is to establish the $\text {weak}^* $ completely metric
approximation property ($ w^* $-CMAP) for the mixed $ q $-deformed Araki-Woods factors …

Fullness of qq‐Araki‐Woods factors

M Kumar, S Wang - Journal of the London Mathematical …, 2024 - Wiley Online Library
Fullness of q$q$‐Araki‐Woods factors - Kumar - 2024 - Journal of the London Mathematical
Society - Wiley Online Library Skip to Article Content Skip to Article Information London …

[引用][C] Factoriality of g-Araki-Woods von Neumann Algebras

M Kumar - 2023