Construction and pure infiniteness of C^*-algebras associated with lambda-graph systems
- Autores: Kengo Matsumoto
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 97, Nº 1, 2005, págs. 73-88
- Idioma: inglés
- DOI: 10.7146/math.scand.a-14964
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Resumen
A λ-graph system is a labeled Bratteli diagram with shift transformation. It is a generalization of finite labeled graphs and presents a subshift. In [16] the author has introduced a C∗-algebra OL associated with a λ-graph system L by using groupoid method as a generalization of the Cuntz-Krieger algebras. In this paper, we concretely construct the C∗-algebra OL by using both creation operators and projections on a sub Fock Hilbert space associated with L. We also introduce a new irreducible condition on L under which the C∗-algebra OL becomes simple and purely infinite.
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