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arXiv · 2101.12323

The simplicity of the C*-algebras associated to arbitrary labeled spaces

EunJi Kang
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Abstract

In this paper, we consider the simplicity of the C*-algebra associated to an arbitrary weakly left-resolving labeled space (E, L, E), where E is the smallest non-degenerate accommodating set. We classify all gauge-invariant ideals of C*(E, L, E) and characterize minimality of (E, L, E) in terms of ideal structure of C*(E, L, E). Using these results, we prove simplicity results for C*-algebras associated to arbitrary labeled spaces.

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EunJi Kang. 2021-01-28. The simplicity of the C*-algebras associated to arbitrary labeled spaces. https://doi.org/10.1216/rmj.2022.52.133

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