C*-algebra generated by projections

2003/06/03 by Partha Sarathi Chakraborty, Chakraborty, Partha Sarathi
Mathematics · #46L87 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L87

paper · pdf · doi:10.48550/arxiv.math/0306064

arxiv created 2003/06/03 · arxiv updated 2009/11/30

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.

Related

• Semiprojectivity and properly infinite projections in graph C*-algebras
• C^*-algebras generated by three projections
• Projections in Graph W*-Algebras
• Null projections and noncommutative function theory in operator algebras
• Regularity of projections revisited