Type <IMG ALIGN=MIDDLE HEIGHT=28 WIDTH=34> factors generated by purely infinite simple C*-algebras associated with free groups期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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*Type factors generated by purely infinite simple C-algebras associated with free groups**

Authors:	Wojciech Szymanski Shuang Zhang

Institution:	Department of Mathematics, The University of Newcastle, Newcastle, New South Wales 2308, Australia Shuang Zhang ; Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221-0025

Abstract:	Let $\Gamma = G_{1}G_{2}...G_{n} ...$ be a free product of at least two but at most countably many cyclic groups. With each such group $\Gamma$ we associate a family of C-algebras, denoted $C^{}_{r}(\Gamma,\mathcal{P}_{\Lambda})$ and generated by the reduced group C-algebra $C^{}_{r}\Gamma$ and a collection $\mathcal{P}_{\Lambda }$ of projections onto the $\ell ^{2}$ -spaces over certain subsets of $\Gamma$ . We determine $W^{}(\Gamma, \mathcal{P}_{\Lambda })$ , the weak closure of $C^{}_{r}(\Gamma, \mathcal{P}_{\Lambda })$ in $\mathcal{L}(\ell ^{2}(\Gamma ))$ , and use this result to show that many of the C*-algebras in question are non-nuclear.

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