Journal of Operator Theory

Volume 48, Issue 3, Supplementary 2002 pp. 535-548.

Ideals in transformation-group $C^*$-algebras

Authors: Astrid an Huef (1), and Dana P. Williams (2)
Author institution: (1) School of Mathematics, The University of New South Wales, Sydney NSW 2052, Australia
(2) Department of Mathematics, Dartmouth College, Hanover, NH 03755, USA

Summary: We characterize the ideal of continuous-trace elements in a separable transformation-group $C^{*}$-algebra $\cocx$. In addition, we identify the largest Fell ideal, the largest liminal ideal and the largest postliminal ideal.

Keywords: Transformation group, continuous-trace $C^*$-algebras, liminal and postliminal $C^*$-algebras

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