关于核型C*代数单调积的注记

摘要

Given two nuclear C*-algebras A1 and A2 with states ψ1 and ψ2, we show that the monotone product C*-algebra A1 (Δ)A2 is still nuclear. Furthermore, if both the states ψ1 and ψ2 are faithful, then the monotone product A1(Δ)A2 is nuclear if and only if the C*-algebras A1 and A2 both are nuclear.