47 research outputs found
Monoids of intervals of simple refinement monoids and non-stable K-Theory of multiplier algebras
We show that the representation of the monoid of intervals of a simple refinement monoid in terms of affine semicontinuous functions, given by Perera in 2001, fails to be faithful in the case of strictly perforated monoids. We give some potential applications of this result in the context of monoids of intervals and K-Theory of multiplier rings
Primely generated refinement monoids
We extend both Dobbertin's characterization of primely generated regular refinement monoids and Pierce's characterization of primitive monoids to general primely generated refinement monoids.The first-named author was partially supported by DGI MINECO
MTM2011-28992-C02-01, by FEDER UNAB10-4E-378 "Una manera de hacer Europa", and by the Comissionat per Universitats i Recerca de la Generalitat de Catalunya. The second-named author was partially supported by the DGI and European Regional Development Fund, jointly, through Project MTM2011-28992-C02-02, and by PAI III grants FQM-298 and P11-FQM-7156 of the Junta de AndalucÃa
Nonstable K-Theory for graph algebras
We compute the monoid V (LK(E)) of isomorphism classes of finitely generated
projective modules over certain graph algebras LK(E), and we show that this monoid satisfies
the refinement property and separative cancellation. We also show that there is a natural
isomorphism between the lattice of graded ideals of LK(E) and the lattice of order-ideals
of V (LK(E)). When K is the field C of complex numbers, the algebra LC(E) is a dense
subalgebra of the graph C -algebra C (E), and we show that the inclusion map induces an
isomorphism between the corresponding monoids. As a consequence, the graph C*-algebra
of any row-finite graph turns out to satisfy the stable weak cancellation propert
Your money and your life: risk attitudes over gains and losses
Prospect theory is the most influential descriptive alternative to the orthodox model of rational choice under risk and uncertainty, in terms of empirical analyses of some of its principal parameters and as a consideration in behavioural public policy. Yet the most distinctive implication of the theory – a fourfold predicted pattern of risk attitudes called the reflection effect – has been infrequently studied and with mixed results over money outcomes, and has never been completely tested over health outcomes. This article reports tests of reflection over money and health outcomes defined by life years gained from treatment. With open valuation exercises, the results suggest qualified support for the reflection effect over money outcomes and strong support over health outcomes. However, in pairwise choice questions, reflection was substantially ameliorated over life years, remaining significant only for treatments that offered short additional durations of life