Homology, Homotopy and Applications
Volume 20 (2018)
$K$-theoretic torsors for infinite dimensional vector bundles of locally compact type
Pages: 1 – 4
Drinfeld observed that there were apparently two notions of $K$-theory torsor one might expect to associate to a Tate $R$-module, and that these should be equivalent. The purpose of the present note is to explain this equivalence as a direct consequence of the author’s delooping theorem and Drinfeld’s theorem that the first negative $K$-group vanishes Nisnevich locally.
$K$-theoretic torsor, Tate $R$-module
2010 Mathematics Subject Classification
This work was supported by the WPI initiative, MEXT, Japan.
Received 15 February 2017
Received revised 26 May 2017
Published 13 December 2017