On a construction of $C^1({\mathbb{Z}}_p)$ functionals from ${\mathbb{Z}}_p$-extensions of algebraic number fields

Timothy All, Bradley Waller

Let $k$ be any number field and $k_{\infty }/k$ any ${\mathbb{Z}}_p$-extension. We construct a natural $\Lambda ={\mathbb{Z}}_p[[T-1]]$-morphism from $\varprojlim k_n^{\times} \otimes_{\mat…