Endomorphism rings of Leavitt path algebras

We investigate conditions under which the endomorphism ring of the Leavitt path algebra LK(E)LK(E) possesses various ring and module-theoretical properties such as being von Neumann regular, π-regular, strongly π  -regular or self-injective. We also describe conditions under which LK(E)LK(E) is continuous as well as automorphism invariant as a right LK(E)LK(E)-module.