The suspension of a graph, and associated C⁎-algebras

@article{Sims2018TheSO,
  title={The suspension of a graph, and associated C⁎-algebras},
  author={Aidan Sims},
  journal={Journal of Functional Analysis},
  year={2018}
}
  • A. Sims
  • Published 21 July 2018
  • Mathematics
  • Journal of Functional Analysis

References

SHOWING 1-10 OF 39 REFERENCES

THE C -ALGEBRAS OF ROW-FINITE GRAPHS

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

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

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

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

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

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

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

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

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