Properties of a certain reduced senigroup Ｃ^*-algebraa

Abstract

반군 {0, 2, 3, …}로 생성되는 반군 C^*-대수가 힐버트 공간 l^2 (S)위에서 비 축퇴적으로 작용하며 프라임을 보였다.

We show that the reduced semigroup C^*-algebra generated by the left regular representation of S = {0, 2, 3, …} acts irreducibly on l^2(M), prime and its commutator ideal is the compact operator subalgebra of β(l^2 (S)).

We show that the reduced semigroup C^*-algebra generated by the left regular representation of S = {0, 2, 3, …} acts irreducibly on l^2(M), prime and its commutator ideal is the compact operator subalgebra of β(l^2 (S)).