C ∗ -Algebras over Topological Spaces: The Bootstrap Class

    Abstract

    We carefully define and study C *-algebras over topological spaces, possibly non-Hausdorff, and review some relevant results from point-set topol-ogy 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… (More)

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