On O^*-representability and C^*-representability of *-algebras
Operator Algebras
2008-05-12 v2 Representation Theory
Abstract
Characterization of the *-subalgebras in the algebra of bounded operators acting on Hilbert space is presented. Sufficient conditions for the existence of a faithful representation in pre-Hilbert space of a *-algebra in terms of its Groebner basis are given. These conditions are generalization of the unshrinkability of monomial *-algebras introduced by C. Lance and P. Tapper. The applications to *-doubles, monomial *-algebras and several other classes of *-algebras are presented.
Cite
@article{arxiv.0709.3741,
title = {On O^*-representability and C^*-representability of *-algebras},
author = {Stanislav Popovych},
journal= {arXiv preprint arXiv:0709.3741},
year = {2008}
}
Comments
revised; typos corrected, references added