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Angles in C*-algebras

M. Anoussis·A. Katavolos·I. G. Todorov
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Abstract

In this work we characterise the C*-algebras A generated by projections with the property that every pair of projections in A has positive angle, as certain extensions of abelian algebras by algebras of compact operators. We show that this property is equivalent to a lattice theoretic property of projections and also to the property that the set of finite-dimensional *-subalgebras of A is directed.

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BibTeXRIS

M. Anoussis, A. Katavolos, I. G. Todorov. 2005-12-30. Angles in C*-algebras. https://arxiv.org/abs/math/0601003

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