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Equivariant K-Theory of Smooth Toric Varieties

Silvano Baggio
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Abstract

We characterize the smooth toric varieties for which the Merkurjev spectral sequence, connecting equivariant and ordinary K-theory, degenerates. We find under which conditions on the support of the fan the $E^2$ terms of the spectral sequence are invariants by subdivisions of the fan. Assuming these conditions, we describe explicitly the $E^2$ terms, linking them to the reduced homology of the fan.

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Silvano Baggio. 2005-02-04. Equivariant K-Theory of Smooth Toric Varieties. https://arxiv.org/abs/math/0410378

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