Abstract
In this paper, we study the cyclic homology of affine algebras over a field of characteristic 0. We show that ifA is such an algebra the inverse system (HC *+2m (A),S) m decomposes in sufficiently large degrees into the direct sum of the constant system with value ⊕ l∈Z H *+21inf (A) and a system which is essentially zero. The essentially zero component is the kernel of the Loday-Quillen map μ and the behavior of the restriction ofS on it is closely related to the degeneracy of the spectral sequence associated with Connes' exact couple ofA.
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Oblatum 25-IV-1994 & 21-XI-1994
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Emmanouil, I. The cyclic homology of affine algebras. Invent Math 121, 1–19 (1995). https://doi.org/10.1007/BF01884288
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DOI: https://doi.org/10.1007/BF01884288