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Convergent noncommutative power series algebras and their finite dimensional representations

Frank Schuhmacher
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Abstract

We define ''convergence'' for noncommutative power series and construct two topologies on the algebra of power series, convergent with respect to a positive radius. We indicate all finite dimensional continuous representations of this algebra and prove completeness for both topologies.

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Frank Schuhmacher. 2007-01-02. Convergent noncommutative power series algebras and their finite dimensional representations. https://arxiv.org/abs/math/0701048

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