Leavitt Path Algebras - (Lecture Notes in Mathematics) by Gene Abrams & Pere Ara & Mercedes Siles Molina (Paperback)
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<p/><br></br><p><b> Book Synopsis </b></p></br></br>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.<br>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.<br><i>Leavitt Path Algebras</i> 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. <br><p/><br></br><p><b> From the Back Cover </b></p></br></br>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.<br>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.<i><br></i><i>Leavitt Path Algebras</i> 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.<p/><br></br><p><b> Review Quotes </b></p></br></br><br>"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 Vas, zbMATH 1393.16001, 2018)<br>
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