## References

SHOWING 1-10 OF 39 REFERENCES

### THE C -ALGEBRAS OF ROW-FINITE GRAPHS

- Mathematics
- 2000

NSKI Abstract. We prove versions of the fundamental theorems about Cuntz-Krieger algebras for the C -algebras of row-finite graphs: directed graphs in which each vertex emits at most finitely many…

### CUNTZ-KRIEGER ALGEBRAS OF DIRECTED GRAPHS

- Mathematics
- 1998

We associate to each row-nite directed graph E a universal Cuntz-Krieger C-algebra C(E), and study how the distribution of loops in E aects the structure of C(E) .W e prove that C(E) is AF if and…

### Topological Quivers

- Mathematics
- 2003

Topological quivers are generalizations of directed graphs in which the sets of vertices and edges are locally compact Hausdorff spaces. Associated to such a topological quiver Q is a…

### An elementary approach to C*-algebras associated to topological graphs

- Mathematics
- 2012

We develop notions of a representation of a topological graph E and of a covariant representation of a topological graph E which do not require the machinery of C*-correspondences and Cuntz-Pimsner…

### The co-universal C*-algebra of a row-finite graph

- Mathematics
- 2010

Let E be a row-finite directed graph. We prove that there exists a C -algebra C min(E) with the following co-universal property: given any C -algebra B generated by a Toeplitz-Cuntz-Krieger E-family…

### A class ofC*-algebras and topological Markov chains

- Mathematics
- 1980

In this paper we present a class of C*-algebras and point out its close relationship to topological Markov chains, whose theory is part of symbolic dynamics. The C*-algebra construction starts from a…

### Computing K-theory and Ext for graph C*-algebras

- Mathematics
- 2001

K-theory and Ext are computed for the C*-algebra C*(E) of any countable directed graph E. The results generalize the K-theory computations of Raeburn and Szymanski and the Ext computations of…

### On the classification of nonsimple graph C*-algebras

- Mathematics
- 2009

We prove that a graph C*-algebra with exactly one proper nontrivial ideal is classified up to stable isomorphism by its associated six-term exact sequence in K-theory. We prove that a similar…

### A relation between $K$-theory and cohomology

- Mathematics
- 1974

It is well known that for X a CW-complex, K(X) and Hev(X) are isomorphic modulo finite groups, although the "isomorphism" is not natural. The purpose of this paper is to improve this result for X a…