论文标题
T-Equivariant Hermitian K理论的Atiyah-Segal完成
On Atiyah-Segal completion for T-equivariant Hermitian K-theory
论文作者
论文摘要
我们展示了如何使用得出的完成来证明Atiyah-Segal完成的类似物，以$ t $ equivariant Hermitian k理论的方案$ x $，带有微不足道的$ t $ Action，其中包含$ \ tfrac {1} {1} {2} {2}。该结果是迈向Hermitian K理论的更为普遍的Atiyah-Segal完成定理的重要第一步。
We show how derived completion can be used to prove an analogue of Atiyah-Segal completion for the $T$-equivariant Hermitian K-theory of a scheme $X$ with a trivial $T$-action, containing $\tfrac{1}{2}$ and satisfying the resolution property, where $T$ is a split torus of rank $t$. This result is an important first step towards a more general Atiyah-Segal completion theorem for Hermitian K-theory.
