Journal of Topology Advance Access originally published online on June 4, 2009
Journal of Topology 2009 2(2):277-294; doi:10.1112/jtopol/jtp011
| ||||||||||||||||||||||||||||||||||||||||||||||||||||
© 2009 London Mathematical Society
On the K-theory of truncated polynomial algebras over the integers
Department of Mathematics, The University of Chicago, Chicago, Illinois, USA, vigleik@math.uchicago.edu
Department of Mathematics, Indiana University, Bloomington, Indiana, USA, tgerhard@indiana.edu
Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya, Japan, larsh@math.nagoya-u.ac.jp
| Abstract |
|---|
We show that
is finite of order (mi)!(i!)m–2 and that
is free abelian of rank m – 1. This is accomplished by showing that the equivariant homotopy groups
of the topological Hochschild
-spectrum
are free abelian for q even, and finite for q odd, and by determining their ranks and orders, respectively.
Received September 29, 2008.
2000 Mathematics Subject Classification 19D55 (primary), 55Q91 (secondary)