@misc{10498/16086,
year = {2006},
month = {1},
url = {http://hdl.handle.net/10498/16086},
abstract = {We give an elementary characterization of those abelian monoidsM
that are direct limits of countable sequences of finite direct sums of monoids
of the form either (Z/nZ) ⊔ {0} or Z ⊔ {0}. This characterization involves the
Riesz refinement property together with lattice-theoretical properties of the
collection of all subgroups of M (viewed as a semigroup), and it makes it pos-
sible to express M as a certain submonoid of a direct product  ×G, where  
is a distributive semilattice with zero and G is an abelian group. When applied
to the monoids V (A) appearing in the nonstable K-theory of C*-algebras, our
results yield a full description of V (A) for C*-inductive limits A of finite sums
of full matrix algebras over either Cuntz algebras On, where 2 ≤ n < ∞, or
corners of O1 by projections, thus extending to the case including O1 earlier
work by the authors together with K.R. Goodearl.},
title = {Semilattices of groups and nonstable K-theory of extended Cuntz limits},
doi = {10.1007/s10977-006-0005-4},
author = {Pardo Espino, Enrique and Wehrung, F.},
}