**CBMS Regional Conference Series in Mathematics**

Volume: 103;
2005;
113 pp;
Softcover

MSC: Primary 46;
Secondary 22

Print ISBN: 978-0-8218-3660-6

Product Code: CBMS/103

List Price: $41.00

Individual Price: $32.80

**Electronic ISBN: 978-1-4704-2463-3
Product Code: CBMS/103.E**

List Price: $41.00

Individual Price: $32.80

#### Supplemental Materials

# Graph Algebras

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*Iain Raeburn*

A co-publication of the AMS and CBMS

Graph algebras are a family of operator algebras which are
associated to directed graphs. These algebras have an attractive
structure theory in which algebraic properties of the algebra are
related to the behavior of paths in the underlying graph. In the past
few years there has been a great deal of activity in this area, and
graph algebras have cropped up in a surprising variety of situations,
including non-abelian duality, non-commutative geometry, and the
classification of simple \(C^*\)-algebras.

The first part of the book provides an introduction to the subject
suitable for students who have seen a first course on the basics of
\(C^*\)-algebras. In the second part, the author surveys the
literature on the structure theory of graph algebras, highlights some
applications of this theory, and discusses several recent
generalizations which seem particularly promising.

The volume is suitable for graduate students and research
mathematicians interested in graph theory and operator
algebras.

To read a review published in the

#### Table of Contents

# Table of Contents

## Graph Algebras

- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Preface vii8 free
- Introduction 110 free
- Chapter 1. Directed graphs and Cuntz-Krieger families 514 free
- Chapter 2. Uniqueness theorems for graph algebras 1524
- Chapter 3. Proofs of the uniqueness theorems 2534
- Chapter 4. Simplicity and ideal structure 3342
- Chapter 5. Arbitrary graphs 4150
- Chapter 6. Applications to non-abelian duality 5160
- Chapter 7. K-theory of graph algebras 6170
- Chapter 8. Cuntz-Pimsner algebras 7180
- Chapter 9. Topological graphs 7988
- Chapter 10. Higher-rank graphs 8998
- Appendix A. Background material 99108
- Bibliography 105114
- Index 111120
- Back Cover Back Cover1126

#### Readership

Graduate students and research mathematicians interested in graph theory and operator algebras.