A right adjoint to the truncated Witt functor?

For any ring A, let wEtA be the category of weakly etale A-algebras ; it is a cocomplete category. By a theorem of Van der Kallen, the truncated Witt vector functor
Wr:wEtAwEtWr(A)
is well-defined and commutes with all colimits.

Can one explicit a right adjoint to Wr ?

Answer

Attribution
Source : Link , Question Author : js21 , Answer Author : Community

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