C*-algebra generated by projections

Details C*-algebra generated by projections C*-algebra generated by projections

2003-06-03

arxiv.org/abs/math/0306064v1

Mathematics

Operator Algebras

Scientific paper

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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