Leavitt Path Algebras

• Main Authors: Abrams, Gene (Author), Ara, Pere (Author), Siles Molina, Mercedes (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2017.
• Series: Lecture Notes in Mathematics, 2191
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; K-theory.; Operator theory.; Graph theory.; Associative Rings and Algebras.; K-Theory.; Operator Theory.; Graph Theory.

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...

Table of Contents:

• 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.