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Zeitschrift für Analysis und ihre Anwendungen


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Volume 4, Issue 3, 1985, pp. 201–205
DOI: 10.4171/ZAA/145

Published online: 1985-06-30

Über die Struktur maximaler Ideale in LMC*-Algebren

Marlen Fritzsche[1]

(1) Universität Potsdam, Germany

We describe the structure of dense maximal left ideals for the simplest non-commutative LMC*-algebras. Further we show, for these examples, that the correspondence "dense maximal left ideals $\to$ extremal states of the bounded part of the algebra, not extendable to continuous states of the whole algebra" is not one-to-one as in the commutative case.

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Fritzsche Marlen: Über die Struktur maximaler Ideale in LMC*-Algebren. Z. Anal. Anwend. 4 (1985), 201-205. doi: 10.4171/ZAA/145