Projective space of a C*-module

Details Projective space of a C*-module Projective space of a C*-module

1999-11-20

arxiv.org/abs/math/9911155v1

Mathematics

Operator Algebras

22 pages, AMSTeX

Scientific paper

Let X be a right Hilbert C*-module over A. We study the geometry and the topology of the projective space P(X) of X, consisting of the orthocomplemented submodules of X which are generated by a single element. We also study the geometry of the p-sphere S_p(X) and the natural fibration S_p(X) \to P(X), where S_p(X)={x\in X: =p}, for p in A a projection. The projective space and the p-sphere are shown to be homogeneous differentiable spaces of the unitary group of the algebra L_A(X) of adjointable operators of X. The homotopy theory of these spaces is examined.

Affiliated with

Also associated with

No associations

Rating

Projective space of a C*-module does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Projective space of a C*-module, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Projective space of a C*-module will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-445706