On restriction properties of equivariant K-theory rings

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dc.creatorArouche, Abdelouahab
dc.date2005-08-17
dc.date.accessioned2026-07-07T05:22:27Z
dc.date.available2026-07-07T05:22:27Z
dc.descriptionAn important ingredient in the completion theorem of equivariant K-theory given by S. Jackowski is that the representation ring R(Gamma) of a compact Lie group satisfies two restriction properties called (N) and (R\_{F}). We give in this note sufficient conditions on a (compact) -space Z such that these properties hold with K\_{Gamma}^{*}(Z) instead of R(Gamma). As an example, we consider the space Z(Gamma;G) of the so called "elementary cocycles with coefficients in G" invented by H. Ibisch in his construction of a universal (Gamma;G)-bundle.
dc.identifierhttps://arxiv.org/abs/math/0508329
dc.identifierhttp://arxiv.org/abs/math/0508329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76065
dc.subjectAlgebraic Topology
dc.subjectK-Theory and Homology
dc.subjectMSC2000: 19L47, 55N91
dc.titleOn restriction properties of equivariant K-theory rings
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