Endomorphisms of B(H)
funct-an
2008-02-03 v2 Operator Algebras
Abstract
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.
Cite
@article{arxiv.funct-an/9408001,
title = {Endomorphisms of B(H)},
author = {Ola Bratteli and Palle Jorgensen and Geoff Price},
journal= {arXiv preprint arXiv:funct-an/9408001},
year = {2008}
}
Comments
46 pages, amstex