On O*- Representability and C*- Representability of *-Algebras
Journal article, 2010

Characterization of the *-algebras 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.

Hilbert space


faithful representation

non-commutative Grobner basis




Stanislav Popovych

University of Gothenburg

Chalmers, Mathematical Sciences

Houston Journal of Mathematics

0362-1588 (ISSN)

Vol. 36 2 591-617

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