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Arnaud Brothier

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Preprint Oct 2026

Representations of the infinite Cuntz algebra

We define an intrinsic unital completely positive (ucp) map from the Cuntz algebra to the Pythagorean with finitely many generators. This permits to lift states and cyclic representations. This process restricts to the Cuntz-Toeplitz algebras and the contraction algebras. Taking inductive limits we obtain an effective...

Arnaud Brothier, D. Evans · 0 citations

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