Enrique Pardo

K0 of purely infinite simple regular rings

We extend the notion of a purely infinite simple C*-algebra to the context of unital rings, and we study its basic properties, specially those related to K-Theory. For instance, if

STABLE RANK OF LEAVITT PATH ALGEBRAS

R

Isomorphisms between Leavitt algebras and their matrix rings

is a purely infinite simple ring, then

Semilattices of groups and inductive limits of Cuntz algebras

K_0(R)^+= K_0(R)

SEMILATTICES OF GROUPS AND NONSTABLE K-THEORY OF EXTENDED CUNTZ LIMITS

, the monoid of isomorphism classes of finitely generated projective

Representing finitely generated refinement monoids as graph monoids

R

Primely generated refinement monoids

-modules is isomorphic to the monoid obtained from

Simple Cuntz–Pimsner rings

K_0(R)

The Structure of Stacey Crossed Products by Endomorphisms

by adjoining a new zero element, and

Nonstable K-theory for Graph Algebras

K_1(R)