## Banach Journal of Mathematical Analysis

### Primitivity of some full group C*-algebras

#### Abstract

We show that the full group $C^*$-algebra of the free product of two nontrivial countable amenable discrete groups, where at least one of them has more than two elements, is primitive. We also show that in many cases, this $C^*$-algebra is antiliminary and has an uncountable family of pairwise inequivalent, faithful irreducible representations.

#### Article information

Source
Banach J. Math. Anal., Volume 5, Number 2 (2011), 44-58.

Dates
First available in Project Euclid: 14 August 2011

https://projecteuclid.org/euclid.bjma/1313363001

Digital Object Identifier
doi:10.15352/bjma/1313363001

Mathematical Reviews number (MathSciNet)
MR2780868

Zentralblatt MATH identifier
1228.46051

#### Citation

Bedos, Erik; Omland, Tron A. Primitivity of some full group C*-algebras. Banach J. Math. Anal. 5 (2011), no. 2, 44--58. doi:10.15352/bjma/1313363001. https://projecteuclid.org/euclid.bjma/1313363001

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