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Leavitt Path Algebras [by G...
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 Algebraswill 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
Monografía
monografia Rebiun19573594 https://catalogo.rebiun.org/rebiun/record/Rebiun19573594 cr nn 008mamaa 171129s2017 xxk| s |||| 0|eng d 9781447173441 978-1-4471-7344-1 10.1007/978-1-4471-7344-1 doi CBUC 991040808579706706 CBUC 991002100919706708 UPVA 996923939103706 UPM 991005528306104212 UAM 991007715547904211 UCAR 991008463466004213 UR0425412 PBF bicssc MAT002010 bisacsh Abrams, Gene. author Leavitt Path Algebras Recurso electronico] by Gene Abrams, Pere Ara, Mercedes Siles Molina London Springer London Imprint: Springer 2017 London London Springer London Imprint: Springer XIII, 289 p. online resource XIII, 289 p. Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Lecture Notes in Mathematics 0075-8434 2191 1 The basics of Leavitt path algebras: motivations, definitions and examples -- 2 Two-sided ideals -- 3 Idempotents, and finitely generated projective modules -- 4 General ring-theoretic results -- 5 Graph C*-algebras, and their relationship to Leavitt path algebras -- 6 K-theory -- 7 Generalizations, applications, and current lines of research -- References -- Index 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 Algebraswill 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 Mathematics Associative rings Rings (Algebra) K-theory Operator theory Graph theory Mathematics Associative Rings and Algebras K-Theory Operator Theory Graph Theory Ara, Pere. author Siles Molina, Mercedes author SpringerLink Book Series (Online Service) Lecture Notes in Mathematics 0075-8434 2191