Strung, Karen R.: On classification, UHF-stability, and tracial approximation of simple nuclear C * -algebras. 5.3.2014
Inhalt
- Introduction
- Background
- UHF stability and tracial approximation
- Tensoring with a UHF algebra
- Tracially approximately S
- Tracial approximation of UHF-stable C*-algebras
- Tracially approximately semihomogeneous C*-algebras
- Approximation by semihomogeneous C*-algebras
- Cutting up base spaces
- Sketch of proof with two extreme tracial states
- Tracially large intervals from AI algebras
- Approximation by TAH algebras with general tracial state spaces
- Applications to classification
- Locally recursive subhomogeneous C*-algebras
- Recursive subhomogeneous C*-algebras, (`39`42`"613A``45`47`"603AF, )-excisors, and (`39`42`"613A``45`47`"603AF, )-bridges
- Tracially large intervals
- Main result, applications and outlook
- (`39`42`"613A``45`47`"603AF, )-bridges via linear algebra
- Lifting projections
- Approximately excising approximate paths
- (F,)-connected decompositions
- Excising traces
- (F,)-bridges via linear algebra
- Bibliography