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.
