A basic result in equivariant K–theory, the Atiyah–Segal completion theorem relates the G–equivariant K–theory of a finite G–CW complex to the non-equivariant K–theory of its Borel construction. We prove the analogous result for twisted equivariant K–theory.
Lahtinen, Anssi  1
@article{10_2140_agt_2012_12_1925,
author = {Lahtinen, Anssi},
title = {The {Atiyah{\textendash}Segal} completion theorem in twisted {K{\textendash}theory}},
journal = {Algebraic and Geometric Topology},
pages = {1925--1940},
year = {2012},
volume = {12},
number = {4},
doi = {10.2140/agt.2012.12.1925},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2012.12.1925/}
}
TY - JOUR AU - Lahtinen, Anssi TI - The Atiyah–Segal completion theorem in twisted K–theory JO - Algebraic and Geometric Topology PY - 2012 SP - 1925 EP - 1940 VL - 12 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2012.12.1925/ DO - 10.2140/agt.2012.12.1925 ID - 10_2140_agt_2012_12_1925 ER -
Lahtinen, Anssi. The Atiyah–Segal completion theorem in twisted K–theory. Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 1925-1940. doi: 10.2140/agt.2012.12.1925
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