# Cyclic Cohomology of <i>A</i>[<i>X</i>] and <i>A</i>[<i>X</i>, <i>X</i><sup>–1</sup>]

### 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 <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. 365–393

DOI 10.2977/PRIMS/1195178072