The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets.
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Fecha
2024-02-21 -
Editorial/Editor
Springer -
Palabras clave
Algebra lineal -
Resumen
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). -