The cyclic homology of $k[x_1,x_2,\dots ,x_d]/(x_1,x_2,\dots ,x_d{)}^2$

Abstract

The Hochschild homology of the ring $k[x_1,x_2,\dots ,x_d]/(x_1,x_2,\dots ,x_d{)}^2$ has been known and calculated several ways. This paper uses those calculations to calculate cyclic, negative cyclic, and periodic cyclic homology of $k[x_1,x_2,\dots ,x_d]/(x_1,x_2,\dots ,x_d{)}^2$ over $k$.

22 pages