Construction and pure infiniteness of C∗-algebras associated with lambda-graph systems
DOI:
https://doi.org/10.7146/math.scand.a-14964Abstract
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.Downloads
Published
2005-09-01
How to Cite
Matsumoto, K. (2005). Construction and pure infiniteness of C∗-algebras associated with lambda-graph systems. MATHEMATICA SCANDINAVICA, 97(1), 73–88. https://doi.org/10.7146/math.scand.a-14964
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