The Cuntz semigroup of a $ C^* $-algebra is an important invariant in the structure and
classification theory of $ C^* $-algebras. It captures more information than $ K $-theory but is …

We study compact group actions with finite Rokhlin dimension, particularly in relation to
crossed products. For example, we characterize the duals of such actions, generalizing …

We show that abstract Cuntz semigroups form a closed symmetric monoidal category. Thus,
given Cuntz semigroups and, there is another Cuntz semigroup playing the role of …

For a continuous field of C⁎-algebras A, we give a criterion to ensure that the stable rank of
A is one. In the particular case of a trivial field this leads to a characterization of stable rank …

We study compact group actions with finite Rokhlin dimension, particularly in relation to
crossed products. For example, we characterize the duals of such actions, generalizing …

We introduce an equivariant version of the Cuntz semigroup that takes an action of a
compact group into account. The equivariant Cuntz semigroup is naturally a semimodule …

We introduce a bivariant version of the Cuntz semigroup as equivalence classes of order
zero maps generalizing the ordinary Cuntz semigroup. The theory has many features …

This thesis deals with C*-algebras and their K-theoretical invariants. We have mainly
focused on the structure of a class of C*-algebras called continuous fields, and the study of …

Without a doubt the most important result in chemistry in the 19th century was the
classification of the simple chemical elements into Mendeleev's periodic table. If we move …