C*-Algebras over Topological Spaces: The Bootstrap Class

Details C*-Algebras over Topological Spaces: The Bootstrap Class C*-Algebras over Topological Spaces: The Bootstrap Class

2007-12-10

arxiv.org/abs/0712.1426v3

Mathematics

K-Theory and Homology

Final version, very minor changes

Scientific paper

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.

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