Primitive ideals with bounded approximate units in L1-algebras of exponential lie groups

Journal of the Australian Mathematical Society

Mohammed El Bachir Bekka¹ 

关键词: 43 A 20;    22 E 30;   

DOI  :  10.1017/S1446788700033875

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let G be an exponential Lie group. We study primitive ideals (i.e. kernels of irreducible *-representations of L1(G)), with bounded approximate units (b.a.u.). We prove a result relating the existence of b.a.u. in certain primitive ideals with the geometry of the corresponding Kirillov orbits. This yields for a solvable group of class 2, a characterization of the primitive ideals with b.a.u.

【 授权许可】

Unknown