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5
votes
Ghost components of a Witt vector - Motivation
I might probably add some hint to the above motivations. I'm trying to provide some relations, using the exponential map on power series, that allow to see the definition of the ghost map as natural.
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5
votes
1
answer
597
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Image of the ghost map of $p$-typical Witt vectors and $A$-ring structure of $W(A)$
For all ring with unit element $A$ let $W(A)$ be the ring of $p$-typical Witt vectors. Denote by $$\phi\;:\;W(A)\to A^{\mathbb{N}}$$
the ghost map, which is given by
$$\phi(a_0,a_1,a_2,\ldots)\;=\;(\p …