E. Jushenko
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$*$-wildness of some classes of $C^*$-algebras
Sergio Albeverio, Kate Jushenko, Daniil Proskurin, Yurii Samoilenko
MFAT 12 (2006), no. 4, 315-325
315-325
We consider the complexity of the representation theory of free products of $C^*$-algebras. Necessary and sufficient conditions for the free product of finite-dimensional $C^*$-algebras to be $*$-wild is presented. As a corollary we get criteria for $*$-wildness of free products of finite groups. It is proved that the free product of a non-commutative nuclear $C^*$-algebra and the algebra of continuous functions on the one-dimensional sphere is $*$-wild. This result is applied to estimate the complexity of the representation theory of certain $C^*$-algebras generated by isometries and partial isometries.
On $*$-wildness of a free product of finite-dimensional $C^*$-algebras
Ekaterina Jushenko, Konstantin Sukretniy
MFAT 12 (2006), no. 2, 151-156
151-156
In this paper we study the complexity of representation theory of free products of finite-dimensional $C^*$-algebras.
$*$-wildness of a semidirect product of $\mathcal{F}_2$ and a finite group
MFAT 11 (2005), no. 4, 376-382
376-382
