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Leavitt Path Algebras

Leavitt Path Algebras

Paperback

Series: Lecture Notes in Mathematics, Book 2191

AlgebraGeneral Mathematics

ISBN10: 1447173430
ISBN13: 9781447173434
Publisher: Springer Nature
Published: Nov 30 2017
Pages: 289
Weight: 0.94
Height: 0.64 Width: 6.14 Depth: 9.21
Language: English
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.

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Algebra