The Cuntz semigroup of a ring

General theory of (C^*)-algebras (46L05) Ordered semigroups and monoids (06F05) General module theory in associative algebras (16D10) General and miscellaneous (16B99)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Reconstructing projective modules from its trace ideal.
$K_0$ of purely infinite simple regular rings
Projective modules are determined by their radical factors.
Isomorphism of Hilbert modules over stably finite $C^*$-algebras
The diamond lemma for ring theory
Dimension functions on simple $C^*$-algebras
Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
$K_ 1$ of separative exchange rings and $C^ *$-algebras with real rank zero.
Monoids of intervals of ordered abelian groups
$K_0$ of a semilocal ring
The structure of countably generated projective modules over regular rings
Covering dimension of Cuntz semigroups
On the classification problem for nuclear $C^*$-algebras
When every projective module is a direct sum of finitely generated modules
Flat modules and lifting of finitely generated projective modules.
On $n$-simple rings.
Malcolmson semigroups
K-Theory for operator algebras. Classification of C$^*$-algebras
COMPLETIONS OF MONOIDS WITH APPLICATIONS TO THE CUNTZ SEMIGROUP
Big projective modules over noetherian semilocal rings
The Cuntz semigroup as an invariant for C*-algebras
Non-simple purely infinite rings
Projective modules and their trace ideals
The Structure of Positive Elements for C*-Algebras with Real Rank Zero
Tensor products and regularity properties of Cuntz semigroups
Continuous Lattices and Domains
Covering dimension of Cuntz semigroups II
Leavitt path algebras and direct limits
Infinitely generated projective modules over pullbacks of rings
Some model theory over a nearly simple uniserial domain and decompositions of serial modules

This page was built for publication: The Cuntz semigroup of a ring