Equivariant Maps and Bimodule Projections
Operator Algebras
2007-05-23 v1
Abstract
We construct a contractive, idempotent, MASA bimodule map on B(H), whose range is not a ternary subalgebra of B(H). Our method uses a crossed-product to reduce the existence of such an idempotent map to an analogous problem about the ranges of idempotent maps that are equivariant with respect to a group action and Hamana's theory of G-injective envelopes.
Cite
@article{arxiv.math/0510641,
title = {Equivariant Maps and Bimodule Projections},
author = {Vern I. Paulsen},
journal= {arXiv preprint arXiv:math/0510641},
year = {2007}
}
Comments
15 pages