Leavitt path algebras / [edited by] Gene Abrams, Pere Ara, Mercedes Siles Molina

• Descrizione fisica: xiii, 289 p. ; ill. ; 24 cm
• Disciplina: 512.2
• Soggetto topico: Associative rings; Rings (Algebra); K-theory; Operator theory; Graph theory
• Classificazione: AMS 16-02
• Altri autori: Abrams, Gene Ara, Pere Siles Molina, Mercedes
• Nota di contenuto: 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
• Sommario/riassunto: This text 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
• ISBN: 9781447173434; 1447173430
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 991003614329707536
• Lo trovi qui: Univ. del Salento
• Serie: Lecture notes in mathematics, 0075-8434 ; 2191