Algebraic K-theory of a torus is naturally equivalent to the Galois-equivariant homology of its character-lattice torus with equivariant K-theory coefficients.
Princeton University Press, Princeton, NJ, 2009, pp
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On the K-theory of algebraic tori
Algebraic K-theory of a torus is naturally equivalent to the Galois-equivariant homology of its character-lattice torus with equivariant K-theory coefficients.