2020/01/27 by Supriya Pisolkar, Pisolkar, Supriya
Mathematics · #16E99: 16W99 #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2001.09635
openalex publication_date 2020/01/27 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
Let A be any unital associative, possibly non-commutative ring and let p\nbe a prime number. Let E(A) be the ring of p-typical Witt vectors as\nconstructed by Cuntz and Deninger and W(A) be the abelian group constructed\nby Hesselholt. In arXiv:1708.04065 it was proved that if p=2 and A is non\ncommutative unital torsion free ring then there is no surjective continuous\ngroup homomorphism from W(A) \→ HH0(E(A)): = E(A)/\[E(A),E(A)]\nwhich commutes with the Verschiebung operator and the Teichm "uller map. In\nthis paper we generalise this result to all primes p and simplify the\narguments used for p=2. We also prove that if A a is non-commutative unital\nring then there is no continuous map of sets HH0(E(A)) \→ W(A) which\ncommutes with the ghost maps.\n