Representations of B^a(E)
Operator Algebras
2007-05-23 v3
Abstract
We present a short and elegant proof of the complete theory of strict representations of the algebra B^a(E) of all adjointable operators on a Hilbert B-module E by operators on a Hilbert C-module F. Aanalogue for W*-modules and normal representations is also proved. As an application we furnish a new proof of Blecher's Eilenberg-Watts theorem.
Cite
@article{arxiv.math/0410607,
title = {Representations of B^a(E)},
author = {P. S. Muhly and M. Skeide and B. Solel},
journal= {arXiv preprint arXiv:math/0410607},
year = {2007}
}
Comments
Publication data added, corrected an ambiguity in the formulation of Corollary 1.20 (present also in the published version) and adjusted the proof appropriately