Overview
- The first book solely devoted to Leavitt path algebras
- Provides a self-contained and easy-to-read introduction to the subject
- Carefully explains the connection between graph C*-algebras and Leavitt path algebras
- Presents fundamental results and new results alongside open problems
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2191)
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Table of contents (7 chapters)
Keywords
About this book
Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry.
Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and symbolic dynamics. With its descriptive writing style, this book is highly accessible.
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Bibliographic Information
Book Title: Leavitt Path Algebras
Authors: Gene Abrams, Pere Ara, Mercedes Siles Molina
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-1-4471-7344-1
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London Ltd. 2017
Softcover ISBN: 978-1-4471-7343-4Published: 30 November 2017
eBook ISBN: 978-1-4471-7344-1Published: 30 November 2017
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIII, 289
Topics: Associative Rings and Algebras, K-Theory, Operator Theory, Graph Theory