We give an explicit formula for the application of the Connes–Karoubi multiplicative character to higher Loday products of elements in the connected component of the identity. On our way we construct a product on the relative K-groups of Banach algebras and investigate the multiplicative properties of the relative Chern character.
Cite this article
Jens Kaad, A calculation of the multiplicative character. J. Noncommut. Geom. 5 (2011), no. 3, pp. 351–385DOI 10.4171/JNCG/79