Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 5, Number 2 (2011), 44-58.
Primitivity of some full group C*-algebras
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.
Banach J. Math. Anal., Volume 5, Number 2 (2011), 44-58.
First available in Project Euclid: 14 August 2011
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46L05: General theory of $C^*$-algebras
Secondary: 22D25: $C^*$-algebras and $W^*$-algebras in relation to group representations [See also 46Lxx] 46L55: Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
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