%0 Journal Article %T The infinite base change lifting associated to an APF extension of a $p$-adic field %A Megumi Takata %J Mathematics %D 2015 %I arXiv %X In this paper, the author proved that the base change lifting associated to a totally ramified extension of a non-archimedean local field coincides with a map coming from the close fields theory of Kazhdan under some conditions. As a corollary, we can construct a base change lifting for an APF extension of a mixed characteristic local field. %U http://arxiv.org/abs/1509.01684v1