RT journal article
T1 Simple Riesz groups of rank one having wild intervals
A1 Ortus Escudier, Francisco
A1 Pardo Espino, Enrique
A1 Perera, Francesc
A2 Matemáticas
K1 Simple Riesz group
K1 Interval
K1 C*C*-algebra of real rank zero
AB We prove that every partially ordered simple group of rank one which is not Riesz embeds into a simple Riesz group of rank one if and only if it is not isomorphic to the additive group of the rationals. Using this result, we construct examples of simple Riesz groups of rank one G  , containing unbounded intervals (Dn)n⩾1(Dn)n⩾1 and D  , that satisfy: (a) for each n⩾1n⩾1, tDn≠G+tDn≠G+ for every (t<qnt<qn), but qnDn=G+qnDn=G+ (where (qn)(qn) is a sequence of relatively prime integers); (b) for every n⩾1n⩾1, nD≠G+nD≠G+. We sketch some potential applications of these results in the context of K-theory
SN 0021-8693
YR 2005
FD 2005-01-01T00:00:00Z
LK http://hdl.handle.net/10498/16076
UL http://hdl.handle.net/10498/16076
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026