A negative answer to a question of Bass.

GUILLERMO CORTIÑAS; CHRISTIAN HAESEMEYER; MARK E. WALKER; CHARLES A. WEIBEL

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

AMER MATHEMATICAL SOC

Año: 2011 vol. 139 p. 1187 - 1200

0002-9939

We address Bass' question, on whether $K_n(R)=K_n(R[t])$implies $K_n(R)=K_n(R[t_1,t_2])$. In a companion paper, %\cite{nk}, we establish a positive answer to this question when $R$ is of finite type over a field of infinite transcendence degree over therationals. Here we provide an example of an isolated surface singularity over a number field  forwhich the answer the Bass' question is ``no'' when $n=0$.