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arxiv: math/0306064 · v1 · submitted 2003-06-03 · 🧮 math.OA

C*-algebra generated by projections

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keywords projectionsalgebrageneratedpairassociatedbeencorollarydescribed
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The universal C*-algebra generated by n projections has been described. As an immediate corollary one obtains structure theorem for a pair of projections and the solution to an associated index problem. This puts the study of a pair of projections in the proper perspective of noncommutative geometry.

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