In this notation, is it correct that the virtual equivariant line bundle which gives Bott periodicity for complex equivariant K-theory with respect to a complex 1d representation VV is ℒ 1⊕V−1\mathcal{L}_{1 \oplus V} - 1?
Several popular ways of writing down the tautogical line bundle ℒ\mathcal{L} over some projective space don’t generalize, say to the equivariant context.
This here is better, it seems:
v1, current