Work

Skew fields of non-commutative meromorphic functions affiliated to finite operator algebras

Year: 2026

Type: preprint

Abstract: We embed skew fields of meromorphic functions in several non-commuting variables into the topological $*-$algebra of closed linear operators affiliated to a finite von Neumann algebra, $\mathfrak{M}$, with faithful, normal tracial state, $τ$. Namely, let $\mathscr{O} _d (r)$, $r \in (0, +\infty]$, denote the rings of formal power series in $d \in \mathbb{N}$ non-commuting variables with "radius of convergence" at least $r$ and let $Ξ\in \mathfrak{M} ^{1\times d}$ be a tuple of row-norm $

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.21004

Authors: Augat, Méric L., Martin, Robert T. W., Tornes, Maximilian, Shamovich, Eli

Institutions: James Madison University, University of Manitoba, Ben-Gurion University of the Negev

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Natural Sciences and Engineering Research Council of Canada

Awards: Noncommutative Functions, Algebra and Operator Analysis, EAGER: Development Of Functional Genetic Tools For Endoparasitoid Wasps

OpenAlex ID: W7222510810

Cites: 1

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Related to: 10