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- TitleAn excision theorem for the K-theory of C*-algebras, with applications to groupoid C*-algebras
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- Is part ofMünster Journal of Mathematics, Issue Münster Journal of Mathematics, page 349-402
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- LanguageEnglish
- Document typeJournal Article
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Abstract
We discuss the relative K-theory for a C*-algebra A, together with a C*-subalgebra A′ ⊆ A. The relative group is denoted Ki(A′;A), i = 0, 1, and is due to Karoubi. We present a situation where two pairs A′ ⊆ A and B′ ⊆ B are related so that there is a natural isomorphism between their respective relative K-theories. We also discuss applications to the case where A and B are C*-algebras of a pair of locally compact, Hausdorff topological groupoids, with Haar systems.
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