Abstract
We consider arithmetic varieties endowed with an action of the group scheme of n-th roots of unity and we define equivariant arithmetic K 0-theory for these varieties. We then state a Riemann-Roch theorem for the natural transformation of equivariant arithmetic K 0 -theory induced by the restriction to the fixed point scheme and we show that it implies a version of Bismut's conjecture of an equivariant arithmetic Riemann-Roch theorem.
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