منابع مشابه
Subalgebras of graph C*-algebras
We prove a spectral theorem for bimodules in the context of graph C∗-algebras. A bimodule over a suitable abelian algebra is determined by its spectrum (i.e., its groupoid partial order) iff it is generated by the Cuntz– Krieger partial isometries which it contains iff it is invariant under the gauge automorphisms. We study 1-cocycles on the Cuntz–Krieger groupoid associated with a graph C∗-alg...
متن کاملC*-algebras of Graph Products
For certain graphs, we can associate a universal C*-algebra, which encodes the information of the graph algebraically. In this paper we examine the relationships between products of graphs and their associated C*-algebras. We present the underlying theory of associating a C*-algebra to a direct graph as well as to a higher rank graph. We then provide several isomorphisms relating C*-algebras of...
متن کاملHigher Rank Graph C∗-algebras
Building on recent work of Robertson and Steger, we associate a C∗–algebra to a combinatorial object which may be thought of as a higher rank graph. This C∗–algebra is shown to be isomorphic to that of the associated path groupoid. Various results in this paper give sufficient conditions on the higher rank graph for the associated C∗–algebra to be: simple, purely infinite and AF. Results concer...
متن کاملA Class of C∗-algebras Generalizing Both Graph Algebras and Homeomorphism C∗-algebras I, Fundamental Results
We introduce a new class of C∗-algebras, which is a generalization of both graph algebras and homeomorphism C∗-algebras. This class is very large and also very tractable. We prove the so-called gauge-invariant uniqueness theorem and the Cuntz-Krieger uniqueness theorem, and compute the K-groups of our algebras.
متن کاملA Class of C∗-algebras Generalizing Both Graph Algebras and Homeomorphism C∗-algebras Ii, Examples
We show that the method to construct C∗-algebras from topological graphs, introduced in our previous paper, generalizes many known constructions. We give many ways to make new topological graphs from old ones, and study the relation of C∗-algebras constructed from them. We also give a characterization of our C∗-algebras in terms of their representation theory.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2004
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-04-07604-x