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C*-algebra generated by projections

Partha Sarathi Chakraborty

math.OAarXiv:math/0306064

Abstract

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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