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Bulletin of the London Mathematical Society Advance Access originally published online on January 6, 2009
Bulletin of the London Mathematical Society 2009 41(1):36-40; doi:10.1112/blms/bdn101
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© 2009 London Mathematical Society

On Bass' question for finitely generated algebras over large fields

Joseph Gubeladze

Department of Mathematics
San Francisco State University
San Francisco, CA 94132
USA

Received 16 March 2008. Revision received 4 September 2008.

Recently Cortiñas–Haesemayer–Walker–Weibel gave affirmative answer to Bass' 1972 question on NK-groups for algebras of essentially finite type over large fields of characteristic 0. Here we give an alternative short proof of this result for algebras of finite type over such fields. Our approach is based on classical techniques in higher K-theory of rings and a direct Ki-analog of an old observation of Murthy–Pedrini, dating back from the same 1972.

2000 Mathematics Subject Classification 19D35 (primary), 14C35 (secondary).

Research supported by NSF grant DMS-0600929.


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