On the comparison of two constructions of Witt vectors of\n non-commutative rings

2017/08/14 by Amit Hogadi, Hogadi, Amit, Supriya Pisolkar +1
Mathematics · #13F35 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1708.04065

openalex publication_date 2017/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A be any associative ring , possibly non-commutative, and let p be a\nprime number. Let E(A) be the ring of p-typical Witt vectors as constructed\nby Cuntz and Deninger and W(A) be that constructed by Hesselholt. The goal of\nthis paper is to answer the following question by Hesselholt: Is HH₀(E(A)) \nisomorphic to W(A)? We show that in the case p=2, there is no such\nisomorphism possible if one insists it to be compatible with the Verscheibung\noperator and the Teichm "uller map.\n

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