The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets.

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Reduction_Theorem_for_Subshift_Algebras accepted.pdf (414.56 KB)

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URI: https://hdl.handle.net/10630/30901
DOI: 10.1007/s13398-024-01576-1

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2024-02-21

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Springer

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Algebra lineal

Abstract

Let R be a commutative unital ring, X a subshift, and A_R(X) the corresponding unital subshift algebra. We establish the reduction theorem for A_R(X). As a consequence, we obtain a Cuntz-Krieger uniqueness theorem for A_R(X) and we show that A_R(X) is semiprimitive (resp. semiprime) whenever R is a field (resp. a domain).

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Bagio, D., Gil Canto, C., Gonçalves, D. et al. The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 72 (2024).

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