Abstract
for all n 3 0. The main cases in which the conjecture is known to be valid are the equicharacteristic case ([7], based on [2]), and the case in which k is finite (or, more generally, algebraic over a finite field) [2, lo]. In a related vein, Gillet has recently proved that the conjecture is valid for K-theory with coefficients in Z/m, so long as m 1 char k [3]. In [S] we showed that the sequence above is actually split exact whenever R contains a field L such that k is a finite separable extension of L, or whenever R is Henselian and k is finite. The main result of this note is that the Henselian hypothesis in the latter case is unnecessary:
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