Endomorphisms of O_n which preserve the canonical UHF-subalgebra
Operator Algebras
2010-06-25 v1
Abstract
Unital endomorphisms of the Cuntz algebra O_n which preserve the canonical UHF-subalgebra F_n of O_n are investigated. We give examples of such endomorphisms for which the associated unitary element in O_n does not belong to F_n. One such example, in the case where n=2, arises from a construction of a unital endomorphism on O_2 which preserves the canonical UHF-subalgebra and where the relative commutant of the image in O_2 contains a copy of O_2.
Cite
@article{arxiv.0910.1304,
title = {Endomorphisms of O_n which preserve the canonical UHF-subalgebra},
author = {Roberto Conti and Mikael Rordam and Wojciech Szymanski},
journal= {arXiv preprint arXiv:0910.1304},
year = {2010}
}
Comments
1 figure, requires prepictex.tex, pictex.tex, postpictex.tex