A reinterpretation of Emerton's $p$-adic Banach spaces

Details A reinterpretation of Emerton's $p$-adic Banach spaces A reinterpretation of Emerton's $p$-adic Banach spaces

2007-07-13

arxiv.org/abs/0707.1936v2

Mathematics

Number Theory

7 pages

Scientific paper

It is shown that the $p$-adic Banach spaces introduced by Emerton are
isomorphic to the cohomology groups of the sheaf of continuous $\Q_{p}$-valued
functions on a certain space. Some applications of this result are discussed.

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