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Primitive ideals with bounded approximate units in L1-algebras of exponential lie groups
Published online by Cambridge University Press: 09 April 2009
Abstract
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.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 41 , Issue 3 , December 1986 , pp. 411 - 420
- Copyright
- Copyright © Australian Mathematical Society 1986
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