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Abstract We give new characterizations to ensure that a free product of groups with amalgamation has a simple reduced group C ⁎ -algebra, and provide a concrete example of an… Click to show full abstract
Abstract We give new characterizations to ensure that a free product of groups with amalgamation has a simple reduced group C ⁎ -algebra, and provide a concrete example of an amalgam with trivial kernel, such that its reduced group C ⁎ -algebra has a unique tracial state, but is not simple. Moreover, we show that there is a radical class of groups for which the reduced group C ⁎ -algebra of any group is simple precisely when the group has a trivial radical corresponding to this class.
Keywords:
reduced group;
group algebra;
free products;
simplicity free;
group;
products amalgamation
Journal Title: Journal of Functional Analysis
Year Published: 2017
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Journal Title: Journal of Functional Analysis
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!