2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157384In the present article, we investigate a possibility of a real-valued map on the space of tuples of commuting trace-class self-adjoint operators, which behaves like the usual trace map on the space of trace-class linear operators. It turns out that such maps are related with continuous group homomorphisms from the Milnor's $K$-group of the real numbers into the additive group of real numbers. Using this connection, it is shown that any such trace map must be trivial.5 pagesOperator AlgebrasK-Theory and Homologytext