Dihedral homology of polynomial algebras (Q2901386)

The aim of the article is to study the polynomial Banach algebras and its dihedral homology groups. The main result is a computation of the dihedral homology of \(A[x]\), where \(A\) is a commutative involutive unital Banach algebra over a field \(K\), in terms of the hyperhomology of the group \(Z_2\). The authors also compute the dihedral homology of Laurent polynomial algebras and tensor algebras.