Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Bosa, Joan"'
In this paper we explore which part of the ideal lattice of a general ring is parametrized by its Cuntz semigroup $\mathrm{S}(R)$ and its ambient semigroup $\Lambda(R)$. We identify these classes of ideals as the quasipure ideals (a generalization of
Externí odkaz:
http://arxiv.org/abs/2411.00507
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 take quotients of W-semigroups in a similar way as normal subgroups ar
Externí odkaz:
http://arxiv.org/abs/2409.16274
Autor:
Bosa, Joan, Vilalta, Eduard
We introduce and study a notion of pureness for *-homomorphisms and, more generally, for cpc. order-zero maps. After providing several examples of pureness, such as "$\mathcal{Z}$-stable"-like maps, we focus on the question of when pure maps factor t
Externí odkaz:
http://arxiv.org/abs/2406.10949
For any ring $R$, we introduce an invariant in the form of a partially ordered abelian semigroup $\mathrm{S}(R)$ built from an equivalence relation on the class of countably generated projective modules. We call $\mathrm{S}(R)$ the Cuntz semigroup of
Externí odkaz:
http://arxiv.org/abs/2307.07266
Autor:
Bosa, Joan, Vilalta, Eduard
Publikováno v:
In Journal of Functional Analysis 1 February 2025 288(3)
Autor:
Bosa, Joan
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 support, and study these concepts from different sides : hereditary su
Externí odkaz:
http://arxiv.org/abs/2102.09442
In this paper we show that for an almost finite minimal ample groupoid $G$, its reduced $\mathrm{C}^*$-algebra $C_r^*(G)$ has real rank zero and strict comparison even though $C_r^*(G)$ may not be nuclear in general. Moreover, if we further assume $G
Externí odkaz:
http://arxiv.org/abs/2002.12221
We prove that a minimal second countable ample groupoid has dynamical comparison if and only if its type semigroup is almost unperforated. Moreover, we investigate to what extent a not necessarily minimal almost finite groupoid has an almost unperfor
Externí odkaz:
http://arxiv.org/abs/2001.00376
We show that every finitely generated conical refinement monoid can be represented as the monoid $\mathcal V(R)$ of isomorphism classes of finitely generated projective modules over a von Neumann regular ring $R$. To this end, we use the representati
Externí odkaz:
http://arxiv.org/abs/1907.03648