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infinite tensor products 1product unitaries 1quantum decoherence 1ultrametric spaces 1von neumann algebras 1

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quant-ph2026

A complete ultrametric on von Neumann's incomplete tensor products

Andrew Lesniewski

The paper revisits von Neumann's theory of infinite tensor products of Hilbert spaces and defines a natural pseudo‑ultrametric on equivalence classes of C₀‑sequences, proving it is…