Endomorphisms of B(H)

Details Endomorphisms of B(H) Endomorphisms of B(H)

1994-08-29

arxiv.org/abs/funct-an/9408001v2

Mathematics

Operator Algebras

46 pages, amstex

Scientific paper

The unital endomorphisms of B(H) of (Powers) index n are classified by certain U(n)-orbits in the set of non-degenerate representations of the Cuntz algebra O_n on H. Using this, the corre- sponding conjugacy classes are identified, and a set of labels is given. This set is given as P modulo a certain non-smooth equivalence, where P is a set of pure state on the UHF algebra of Glimm type n^infinity. Several subsets of P, giving concrete examples of non- conjugate shifts, are worked out in detail, including sets of product states, and a set of nearest neighbor states.

Affiliated with

Also associated with

No associations

Rating

Endomorphisms of B(H) 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 Endomorphisms of B(H), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Endomorphisms of B(H) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271321