TY  - JOUR
AB  - 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.
AU  - Putnam, Ian Fraser
DA  - 2021
DO  - 10.17879/06089647453
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 349
PY  - 2021
SP  - 349-402
T2  - Münster Journal of Mathematics
TI  - An excision theorem for the K-theory of C*-algebras, with applications to groupoid C*-algebras
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-06089647852
Y2  - 2024-11-22T06:55:46
ER  -