We give a detailed introduction to the theory of Cuntz semigroups for C*-algebras.
Beginning with the most basic definitions and technical lemmas, we present several results …

We develop a theory of Cauchy sequences and intertwinings for morphisms of Cuntz
semigroups, which generalizes all past approaches to study metric-like properties of the …

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 their …

This thesis examines various notions of traces on C∗-algebras with a focus on quasitraces
and tracial states, and on the connection between them as exemplified by Kaplansky's …

We study the existence of faithful tracial states on C*-algebras as well as the stronger proerty
that all quotients admit faithful tracial states. We provide a sufficient and necessary condition …

APPENDIX TO "REGULARITY OF VILLADSEN ALGEBRAS": THE FAILURE OF THE CORONA
FACTORIZATION PROPERTY FOR THE VILLADSEN ALG Page 1 MATH. SCAND. 123 …

The main topic of this thesis is regularity properties of C∗-algebras and how these regularity
properties are reflected in their associated central sequence algebras. The thesis consists of …

We give a detailed introduction to the theory of Cuntz semigroups for C-algebras. Beginning
with the most basic definitions and technical lemmas, we present several results of historical …