| Dewey Class |
512.46 |
| Titel |
Leavitt Path Algebras ([Ebook]) / by Gene Abrams, Pere Ara, Mercedes Siles Molina. |
| Verfasser |
Abrams, Gene |
| Added Personal Name |
Ara, Pere |
| Siles Molina, Mercedes. Molina, Mercedes Siles |
| Other name(s) |
SpringerLink (Online service) |
| Veröffentl |
London : Springer , 2017 |
| Physical Details |
XIII, 289 pages : online resource. |
| Reihe |
Lecture Notes in Mathematics ; 2191 0075-8434 ; |
| ISBN |
9781447173441 |
| Summary Note |
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.: 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.: |
| Contents note |
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. |
| Mode of acces to digital resource |
Digital book.- Berlin : Springer-Verlag, 2017. Mode of access : World Wide Web. - System requirements : Internet Explorer 6.0 (or higher) of Firefox 2.0 (or higher). Available as searchable text in PDF format. or ePub format |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
https://doi.org/10.1007/978-1-4471-7344-1 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Algebraic K-theory .
Associative Rings and Algebras .
Associative rings. -- K-Theory .
Graph Theory .
Operator Theory .
Rings (Algebra). -- C*-algebras .
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