Homology, Homotopy and Applications

Volume 20 (2018)

Number 1

$K$-theoretic torsors for infinite dimensional vector bundles of locally compact type

Pages: 1 – 4

DOI: https://dx.doi.org/10.4310/HHA.2018.v20.n1.a1


Sho Saito (Kavli IPMU, University of Tokyo, Kashiwanoha, Kashiwa, Japan)


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