C ∗ -algebras over topological spaces: the bootstrap class

By R. Meyer, R. Nest. 2007

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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 topo- logical space and study the analogue of the bootstrap class for C � -algebras over a finite topological space.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/97944ba5b0407ad9b9670b09f3ea116ac9c2d948