Cyclic cohomology of A coefficient polynomial algebra A[X] and Laurent polynomial algebra A[X, X–1] is studied by making use of a deformation of projective resolution and the machinery of A. Connes. The spectral sequence E*n, n ≥ 1 behaves the same as algebraic K-theory.
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Tetsuya Masuda, Cyclic Cohomology of <i>A</i>[<i>X</i>] and <i>A</i>[<i>X</i>, <i>X</i><sup>–1</sup>]. Publ. Res. Inst. Math. Sci. 22 (1986), no. 2, pp. 365–393DOI 10.2977/PRIMS/1195178072