© 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.
|Title of host publication||Lecture Notes in Mathematics|
|Number of pages||47|
|Publication status||Published - 1 Jan 2017|