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

### Tetsuya Masuda

Kyoto University, Japan

## 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 $E_{n}$, $n≥1$ behaves the same as algebraic $K$-theory.

## Cite this article

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