CONSTRUCTION AND PURE INFINITENESS OF C*-ALGEBRAS ASSOCIATED WITH LAMBDA-GRAPH SYSTEMS

摘要

A A-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 ( y associated with a A-graph system i.' by using groupoid method as a generalization of the Cuntz-Krieger algebras. In this paper, we concretely construct the C*-algebra f/w by using both creation operators and projections on a sub Fock Hilbert space associated with i.'. We also introduce a new irreducible condition on it under which the C*-algebra <% becomes simple and purely infinite.