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yang–baxter operator

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

On the von Neumann algebras associated to Yang–Baxter operators
Part of
- Selfadjoint operator algebras
- Normed linear spaces and Banach spaces; Banach lattices
Panchugopal Bikram, Rahul Kumar, Rajeeb Mohanta, Kunal Mukherjee, Diptesh Saha
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 151 / Issue 4 / August 2021

Published online by Cambridge University Press:

28 August 2020, pp. 1331-1354

Print publication:

August 2021
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Bożejko and Speicher associated a finite von Neumann algebra MT to a self-adjoint operator T on a complex Hilbert space of the form $\mathcal {H}\otimes \mathcal {H}$ which satisfies the Yang–Baxter relation and $ \left\| T \right\| < 1$. We show that if dim$(\mathcal {H})$ ⩾ 2, then MT is a factor when T admits an eigenvector of some special form.