C*-algebras over topological spaces : the bootstrap class

We carefully define and study C*-algebras over topological spaces, possibly non-Hausdorff, and review some relevant results from point-set topology along the way. We explain the triangulated category structure on the bivariant Kasparov theory over a topological space and study the analogue of the bo...

Verfasser: Meyer, Ralf
Nest, Ryszard
FB/Einrichtung:FB 10: Mathematik und Informatik
Dokumenttypen:Artikel
Medientypen:Text
Erscheinungsdatum:2009
Publikation in MIAMI:20.08.2009
Datum der letzten Änderung:10.03.2023
Quelle:Münster Journal of Mathematics, 2 (2009), S. 215-252
Angaben zur Ausgabe:[Electronic ed.]
Fachgebiet (DDC):510: Mathematik
Lizenz:InC 1.0
Sprache:English
Format:PDF-Dokument
URN:urn:nbn:de:hbz:6-10569452982
Permalink:https://nbn-resolving.de/urn:nbn:de:hbz:6-10569452982
Onlinezugriff:mjm_vol_2_10.pdf

We carefully define and study C*-algebras over topological spaces, possibly non-Hausdorff, and review some relevant results from point-set topology along the way. We explain the triangulated category structure on the bivariant Kasparov theory over a topological space and study the analogue of the bootstrap class for C*-algebras over a finite topological space.