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• W2282594606 abstract "Let A be a commutative algebra over the field F2=Z/2. We show that there is a natural algebra homomorphism ℓ(A)→HC⁎−(A) which is an isomorphism when A is a smooth algebra. Thus, the functor ℓ can be viewed as an approximation of negative cyclic homology and ordinary cyclic homology HC⁎(A) is a natural ℓ(A)-module. In general, there is a spectral sequence E2=L⁎(ℓ)(A)⇒HC⁎−(A). We find associated approximation functors ℓ+ and ℓper for ordinary cyclic homology and periodic cyclic homology, and set up their spectral sequences. Finally, we discuss universality of the approximations." @default.
• W2282594606 created "2016-06-24" @default.
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• W2282594606 date "2017-06-01" @default.
• W2282594606 modified "2023-09-25" @default.
• W2282594606 title "A Hochschild–Kostant–Rosenberg theorem for cyclic homology" @default.
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• W2282594606 doi "https://doi.org/10.1016/j.jpaa.2016.10.005" @default.
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