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PreprintarXiv licencearXiv

Non-isomorphism of q-Gaussian von Neumann Algebras in Infinite Variables

Abstract

We show that the q-Gaussian von Neumann algebras associated with an infinite-dimensional real Hilbert space are pairwise nonisomorphic as q ranges over (−1,1).

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BibTeX
@misc{ding2026nonisomorphism,
  title = {{Non-isomorphism of $q$-Gaussian von Neumann Algebras in Infinite Variables}},
  author = {Changying Ding and Zhiyuan Yang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07052},
  eprint = {2609.07052},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07052},
}
RIS
TY  - UNPB
TI  - Non-isomorphism of q-Gaussian von Neumann Algebras in Infinite Variables
AU  - Changying Ding
AU  - Zhiyuan Yang
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07052
UR  - https://arxiv.org/abs/2609.07052
AB  - We show that the q-Gaussian von Neumann algebras associated with an infinite-dimensional real Hilbert space are pairwise nonisomorphic as q ranges over (−1,1).
ER  -