Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Morphisms between two constructions of Witt vectors of non-commutative
  rings   Let $A$ be any unital associative, possibly non-commutative ring and let $p$
be a prime number. Let $E(A)$ be the ring of $p$-typical Witt vectors as
constructed by Cuntz and Deninger and $W(A)$ be the abelian group constructed
by Hesselholt. In arXiv:1708.04065 it was proved that if $ p=2$ and $A$ is non
commutative unital torsion free ring then there is no surjective continuous
group homomorphism from $W(A) \to HH_0(E(A)): = E(A)/\overline{[E(A),E(A)]}$
which commutes with the Verschiebung operator and the Teichm\"uller map. In
this paper we generalise this result to all primes $p$ and simplify the
arguments used for $p=2$. We also prove that if $A$ a is non-commutative unital
ring then there is no continuous map of sets $HH_0(E(A)) \to W(A)$ which
commutes with the ghost maps.

6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph