Leavitt Path Algebras

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...

Full description

Main Authors: Abrams, Gene, Ara, Pere (Author), Siles Molina, Mercedes (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: London Springer London 2017, 2017
Edition:1st ed. 2017
Series:Lecture Notes in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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