36 research outputs found
L1-determined ideals in group algebras of exponential Lie groups
A locally compact group is said to be -regular if the natural map
\Psi:\Prim C^\ast(G)\to\Prim_{\ast} L^1(G) is a homeomorphism with respect to
the Jacobson topologies on the primitive ideal spaces \Prim C^\ast(G) and
\Prim_{\ast} L^1(G). In 1980 J. Boidol characterized the -regular ones
among all exponential Lie groups by a purely algebraic condition. In this
article we introduce the notion of -determined ideals in order to discuss
the weaker property of primitive -regularity. We give two sufficient
criteria for closed ideals of to be -determined. Herefrom
we deduce a strategy to prove that a given exponential Lie group is primitive
-regular. The author proved in his thesis that all exponential Lie groups
of dimension have this property. So far no counter-example is known.
Here we discuss the example , the only critical one in dimension
Untersuchungen zur Gewinnung von speziellen animalischen und humanen Proteinen aus Mikroorganismen durch Genuebertragung Abschlussbericht. Berichtszeitraum: 1.8.1975-31.12.1978
SIGLETechnische Informationsbibliothek Hannover: AC 5817. / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman