%0 Journal Article %T An application of the almost purity theorem to the homological conjectures %A Kazuma Shimomoto %J Mathematics %D 2013 %I arXiv %X The aim of this article is to establish the existence of big Cohen-Macaulay algebras in mixed characteristic in some special situation. The main result follows from the so-called almost purity theorem proved by Davis and Kedlaya. %U http://arxiv.org/abs/1310.0389v3