RT journal article
T1 Semilattices of groups and nonstable K-theory of extended Cuntz limits
A1 Pardo Espino, Enrique
A1 Wehrung, F.
A2 Matemáticas
AB We give an elementary characterization of those abelian monoidsMthat are direct limits of countable sequences of finite direct sums of monoidsof the form either (Z/nZ) ⊔ {0} or Z ⊔ {0}. This characterization involves theRiesz refinement property together with lattice-theoretical properties of thecollection 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 appliedto the monoids V (A) appearing in the nonstable K-theory of C*-algebras, ourresults yield a full description of V (A) for C*-inductive limits A of finite sumsof full matrix algebras over either Cuntz algebras On, where 2 ≤ n < ∞, orcorners of O1 by projections, thus extending to the case including O1 earlierwork by the authors together with K.R. Goodearl.
YR 2006
FD 2006-01-01T00:00:00Z
LK http://hdl.handle.net/10498/16086
UL http://hdl.handle.net/10498/16086
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 13-nov-2026