%0 Journal Article
%T A $p$-adic analogue of the Borel regulator and the Bloch-Kato exponential map
%A Annette Huber
%A Guido Kings
%J Mathematics
%D 2006
%I arXiv
%X In this paper we define a $p$-adic analogue of the Borel regulator for the $K$-theory of $p$-adic fields. The van Est isomorphism in the construction of the classical Borel regulator is replaced by the Lazard isomorphism. The main result relates this $p$-adic regulator to the Bloch-Kato exponential and the Soul\'e regulator. On the way we give a new description of the Lazard isomorphism for certain formal groups.
%U http://arxiv.org/abs/math/0612611v1