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We study the fixed points of the universal G-equivariant n-dimensionalcomplex vector bundle and obtain a decomposition formula in terms of twistedequivariant universal complex vector bundles of smaller dimension. We use thisdecomposition to describe the fixed points of the complex equivariant K-theoryspectrum and the equivariant unitary bordism groups for adjacent families ofsubgroups.

Equivariant complex bundles, fixed points and equivariant unitary bordism