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Graph Algebras (Cbms Regional Conference Series In Mathematics)

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, in...

Series: Cbms Regional Conference Series in Mathematics (Book 103)
Paperback: 113 pages
Publisher: American Mathematical Society (May 1, 2005)
Language: English
ISBN-10: 0821836609
ISBN-13: 978-0821836606
Product Dimensions: 7 x 0.5 x 10 inches
Amazon Rank: 2588403
Format: PDF ePub djvu ebook

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“Great book. Very well written....”

luding 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.