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Abstract
If
( R , I )
is a henselian pair with an action of a finite group
G and
n
≥ 1 is an integer
coprime to
| G | such that
n
⋅ | G | ∈ R ∗ , then the reduction
map of mod-n
equivariant
K -theory
spectra
K G ( R ) ∕ n
→ ≃ K G ( R ∕ I ) ∕ n
is an equivalence. We prove this by revisiting the recent proof of nonequivariant
rigidity by Clausen, Mathew, and Morrow.
Keywords
equivariant algebraic $K\mkern-2mu$-theory, rigidity
Mathematical Subject Classification 2010
Primary: 19D99
Milestones
Received: 28 May 2019
Revised: 27 August 2019
Accepted: 23 September 2019
Published: 21 March 2020
© 2020 MSP (Mathematical Sciences
Publishers).