Angles in C*-algebras

Details Angles in C*-algebras Angles in C*-algebras

2005-12-30

arxiv.org/abs/math/0601003v2

Mathematics

Operator Algebras

The paper has been completely rewritten and differs essentially from "Lattices of projections and operator ranges in C*-algebr

Scientific paper

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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