Abstract
Let A be a commutative algebra over the field F 2=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 E 2=L ⁎(ℓ)(A)⇒HC ⁎ −(A). We find associated approximation functors ℓ + and ℓ per for ordinary cyclic homology and periodic cyclic homology, and set up their spectral sequences. Finally, we discuss universality of the approximations.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Pure and Applied Algebra |
Vol/bind | 221 |
Nummer | 6 |
Sider (fra-til) | 1458–1493 |
Antal sider | 38 |
ISSN | 0022-4049 |
DOI | |
Status | Udgivet - 1 jun. 2017 |