On universal C^*-algebras generated by n projections with scalar sum

Details On universal C^*-algebras generated by n projections with scalar sum On universal C^*-algebras generated by n projections with scalar sum

2007-07-20

arxiv.org/abs/0707.3053v1

Proc. Amer. Math. Soc. 137 (2009), 115-122

Mathematics

Operator Algebras

10 pages

Scientific paper

We study the universal C^*-algebras generated by n projections $p_1, >...,
p_n$ subject to the relation $p_1+... p_n = \lambda 1$, $\lambda \in \mathbb
R$. The questions of when these C^*-algebras are type I, nuclear or exact are
considered. It is proved also that among these algebras there is continuum of
mutually nonisomorphic ones.

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