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Lecture Notes in Mathematics

Leavitt Path Algebras

Authors: Abrams, Gene, Ara, Pere, Siles Molina, Mercedes

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  • 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
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eBook 46,00 €
price for Spain (gross)
  • ISBN 978-1-4471-7344-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-1-4471-7343-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume.
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. 

Reviews

“With the diversity of their potential audience in mind, the authors aim to reach various groups of readers with a self-contained exposition written in a lively style. … Being the first comprehensive exposition on an area of active research and diverse applications, this book will likely be of interest to many groups of readers: those looking for an introduction to Leavitt path algebras; those interested in more in-depth details, open questions, or recent research trends …” (Lia Vaš, zbMATH 1393.16001, 2018)

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 46,00 €
price for Spain (gross)
  • ISBN 978-1-4471-7344-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-1-4471-7343-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Leavitt Path Algebras
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2191
Copyright
2017
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Ltd.
eBook ISBN
978-1-4471-7344-1
DOI
10.1007/978-1-4471-7344-1
Softcover ISBN
978-1-4471-7343-4
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIII, 289
Topics