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...

Authors: Meyer, Ralf
Nest, Ryszard
Division/Institute:FB 10: Mathematik und Informatik
Document types:Article
Media types:Text
Publication date:2009
Date of publication on miami:20.08.2009
Modification date:11.05.2015
Source:Münster Journal of Mathematics, 2 (2009), S. 215-252
Edition statement:[Electronic ed.]
DDC Subject:510: Mathematik
License:InC 1.0
Language:English
Format:PDF document
URN:urn:nbn:de:hbz:6-10569452982
Permalink:http://nbn-resolving.de/urn:nbn:de:hbz:6-10569452982
Digital documents: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.