An excision theorem for the K-theory of C*-algebras, with applications to groupoid C*-algebras

Titelaufnahme

Titel
An excision theorem for the K-theory of C*-algebras, with applications to groupoid C*-algebras
Verfasser
Putnam, Ian Fraser
Enthalten in
Münster Journal of Mathematics, H. Münster Journal of Mathematics, S. 349-402
Erschienen
2021
Sprache
Englisch
Dokumenttyp
Aufsatz in einer Zeitschrift
URN
urn:nbn:de:hbz:6-06089647852
DOI
10.17879/06089647453

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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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