3 citations · 4 across the 3 of their papers we have counts for
5 papers · 1 filter
The dynamical Cuntz semigroup and ideal-free quotients of Cuntz semigroups
Joan Bosa, Francesc Perera, Jianchao Wu +1
We develop a theory of general quotients for W- and Cu-semigroups beyond the case of quotients by ideals. To this end, we introduce the notion of a normal pair, which allows us to…
Stable Elements and Property (S)
Joan Bosa
We study the relation (and differences) between stability and Property (S) in the simple and stably finite framework. This leads us to characterize stable elements in terms of its…
Strict comparison for -algebras arising from Almost finite groupoids
Pere Ara, Christian Bönicke, Joan Bosa +1
In this paper we show that for an almost finite minimal ample groupoid , its reduced -algebra has real rank zero and strict comparison even though $C_r^…
The groupoids of adaptable separated graphs and their type semigroup
Pere Ara, Joan Bosa, Enrique Pardo +1
Given an adaptable separated graph, we construct an associated groupoid and explore its type semigroup. Specifically, we first attach to each adaptable separated graph a correspond…
Comparison Properties of the Cuntz semigroup and applications to C*-algebras
Joan Bosa, Henning Petzka
We study comparison properties in the category Cu aiming to lift results to the C*-algebraic setting. We introduce a new comparison property and relate it to both the CFP and -c…