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Mathematics  2015 

The infinite base change lifting associated to an APF extension of a $p$-adic field

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Abstract:

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.

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