Journal of K-theory: K-theory and its Applications to Algebra, Geometry, and Topology

Table of Contents - June 2012 - Volume 9, Issue 03  

Research Article

Comparison of Karoubi's regulator and the p-adic Borel regulator

Georg Tammea1

a1 California Institute of Technology, Department of Mathematics, MC 253-37, 1200 East California Boulevard, Pasadena CA 91125, USA georg.tamme@ur.de

Abstract

In this paper we prove the p-adic analogue of a result of Hamida [11], namely that the p-adic Borel regulator introduced by Huber and Kings for the K-theory of a p-adic number field equals Karoubi's p-adic regulator up to an explicit rational factor.

(Received February 04 2011)

Key Words

  • p-adic regulator;
  • relative Chern character;
  • Karoubi's regulator;
  • local field;
  • Lazard isomorphism