On the cyclic homology of supermatrices

The aim of this note is to show that the generalized supertrace, constructed in another paper of the author, inducing an isomorphism between the Hochschild homology of a superalgebra and that of the superalgebra of square supermatrices of a given type over $A$, induces, also, an isomorphism between the cyclic homologies of the two superalgebras.

💡 Research Summary

The paper investigates the relationship between a super‑algebra A and the super‑algebra Mₙ(A) of square super‑matrices of a fixed type over A, focusing on cyclic homology. Building on earlier work where the author introduced a generalized super‑trace map \