Geodesic
Witt vectors, commutative and non-commutative
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 73 (2018) no. 1, pp. 1-30

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A review of the classical construction of Witt vectors is presented, and some recent generalizations of it to the non-commutative case are described. Bibliography: 37 titles.
Keywords: Witt vectors, Hochschild homology, de Rham–Witt complex. 
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D. B. Kaledin. Witt vectors, commutative and non-commutative. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 73 (2018) no. 1, pp. 1-30. http://geodesic.mathdoc.fr/item/RM_2018_73_1_a0/