Engbers, Martin: Decomposition of simple Cuntz semigroups. 2015
Inhalt
- Introduction
- The Cuntz semigroup
- The category Cu
- Cu(A) as an object of Cu
- Basic notions
- Ideal structure
- Separability
- Elementary semigroups
- Finiteness
- Other properties and notational conventions
- Quasitraces and functionals on Cuntz semigroups
- Predecessors of compact elements
- Decomposability for semigroups in Cu
- Predecessors in concrete Cuntz semigroups
- Predecessors in abstract Cuntz semigroups
- Properties of the predecessor map
- Composition and decomposition
- Composition of semigroups
- Decomposition of Cuntz semigroups
- Morphisms, functoriality, and category equivalence
- Construction of semigroups in Cu
- Relationship to the Elliott invariant
- The naturality problem
- Bibliography