Idempotents, and finitely generated projective modules

Gene Abrams, Pere Ara, Mercedes Siles Molina

Research output: Chapter in BookChapterResearchpeer-review

Abstract

© Springer-Verlag London Ltd. 2017. The richness of the idempotent structure of Leavitt path algebras lies at the heart of the subject; in this chapter we present a number of topics which fall under this umbrella. These include: the purely infinite property (for both simple and non-simple algebras); the structure of the monoid of finitely generated projective modules; the exchange property; von Neumann regularity; and primitive idempotents.
Original languageEnglish
Title of host publicationLecture Notes in Mathematics
Pages103-150
Number of pages47
Volume2191
DOIs
Publication statusPublished - 1 Jan 2017

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