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math.OA2026
Skew fields of non-commutative meromorphic functions affiliated to finite operator algebras
Méric L. Augat, Robert T. W. Martin, Maximilian Tornes +1
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 alge…
math.OA2025
Rings of non-commutative functions and their fields of fractions
Méric L. Augat, Robert T. W. Martin, Eli Shamovich
Semi-free ideal rings, or semifirs, were introduced by Paul M. Cohn to study universal localizations in the non-commutative setting. We provide new examples of semifirs consisting…
math.OA2021★ 1 cited
Operator NC functions
Meric Augat, John E. McCarthy
We establish a theory of NC functions on a class of von Neumann algebras with a particular direct sum property, e.g. . In contrast to the theory's origins, we do no…