Leavitt path palgebras [Documento electrónico] / Gene Abrams, Pere Ara, Mercedes Siles Molina
Language: eng.Country: US - United States of America.Publication: London : Springer London, 2017Description: XIII, 289 p.ISBN: 978-1-4471-7344-1.Series: Lecture notes in mathematicsSubject - Topical Name: Álgebra | Teoria K | Teoria dos operadores Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT | Não Ficção | QA251 FCT 97906 (Browse shelf(Opens below)) | 1 | Available |
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QA251. FCT 97716 Algebraic theory of locally nilpotent derivations | QA251. FCT 97773 Applications of computer algebra, Kalamata, Greece, July 20–23 2015 | QA251 FCT 97861 Rings, polynomials, and modules | QA251 FCT 97906 Leavitt path palgebras | QA251. FCT 97915 Homological and computational methods in commutative algebra, dedicated to Winfried Bruns on the occasion of his 70th birthday | QA251 FCT 97919 Profinite graphs and groups | QA251 FCT 97932 Computations and combinatorics in commutative algebra, EACA School, Valladolid 2013 |
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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.
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