Cyclic Cohomology of $A[X]$ and $A[X,X^{–1}]$

Tetsuya Masuda

doi:10.2977/prims/1195178072

JournalsprimsVol. 22, No. 2pp. 365–393

Cyclic Cohomology of $A [X]$ and $A [X, X^{-1}]$

Tetsuya Masuda
Kyoto University, Japan

$Cyclic Cohomology of $A[X]$ and $A[X,X^{–1}]$ cover$

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Abstract

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 $E_{n}^{*}$ , $n \geq 1$ behaves the same as algebraic $K$ -theory.

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Tetsuya Masuda, Cyclic Cohomology of $A [X]$ and $A [X, X^{-1}]$ . Publ. Res. Inst. Math. Sci. 22 (1986), no. 2, pp. 365–393

DOI 10.2977/PRIMS/1195178072