Quantum forms of tensor products (Q1308456)

\textit{A. Connes} [``The metric aspects of non-commutative geometry'', College of France, preprint (1991); see also ``Géométrie non- commutative'' (1990; Zbl 0745.46067)] recently introduced the differential algebra of quantum differential forms which is a non- commutative generalization of the classical De-Rham complex and demonstrated its effectiveness in describing non-commutative Yang-Mills fields. In this paper the authors develop a \(^*\)-algebra of skew tensor products of two \(^*\)-algebras equipped with \(K\)-cycles that is likely to be useful in the description of supersymmetric Yang-Mills theories.