English

C*-Algebras over Topological Spaces: The Bootstrap Class

K-Theory and Homology 2015-10-23 v3

Abstract

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. We introduce and describe an analogue of the bootstrap class for C*-algebras over a finite topological space.

Keywords

Cite

@article{arxiv.0712.1426,
  title  = {C*-Algebras over Topological Spaces: The Bootstrap Class},
  author = {Ralf Meyer and Ryszard Nest},
  journal= {arXiv preprint arXiv:0712.1426},
  year   = {2015}
}

Comments

Final version, very minor changes

R2 v1 2026-06-21T09:52:18.518Z