Graph Algebras (CBMS Regional Conference Series in Mathematics) - Softcover

American Mathematical Society

Softcover

ISBN 10: 0821836609 ISBN 13: 9780821836606

Publisher: American Mathematical Society, 2005

Synopsis

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2005
• Language: English
• ISBN 10: 0821836609
• ISBN 13: 9780821836606
• Binding: Paperback
• Number of pages: 113