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When $B$ is $\acute{\rm e}$taleétale over $C$ and $A$ or $B$ is finite over $C$,
then the result is known by Theorem (2.4) in my paper
Descent for the $K$-theory of polynomial rings, link textDescent for the $K$-theory of polynomial rings.
When $B$ is $\acute{\rm e}$tale over $C$ and $A$ or $B$ is finite over $C$,
then the result is known by Theorem (2.4) in my paper
Descent for the $K$-theory of polynomial rings, link text
When $B$ is $\acute{\rm e}$tale over $A$$C$ and $B$$A$ or $C$$B$ is finite over $A$$C$,
then the result is known by Theorem (2.4) in my paper
Descent for the $K$-theory of polynomial rings, link text
When $B$ is $\acute{\rm e}$tale over $A$ and $B$ or $C$ is finite over $A$,
then the result is known by Theorem (2.4) in my paper
Descent for the $K$-theory of polynomial rings, link text
When $B$ is $\acute{\rm e}$tale over $C$ and $A$ or $B$ is finite over $C$,
then the result is known by Theorem (2.4) in my paper
Descent for the $K$-theory of polynomial rings, link text
