English

C*-algebra generated by projections

Operator Algebras 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0306064,
  title  = {C*-algebra generated by projections},
  author = {Partha Sarathi Chakraborty},
  journal= {arXiv preprint arXiv:math/0306064},
  year   = {2007}
}