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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the complexity of the description of $*$-algebra representations by unbounded operators


Author: Lyudmila Turowska
Journal: Proc. Amer. Math. Soc. 130 (2002), 3051-3065
MSC (2000): Primary 46K10, 46L05, 47L60; Secondary 16G60
Published electronically: March 18, 2002
MathSciNet review: 1908930
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Abstract: We study the complexity of the problem to describe, up to unitary equivalence, representations of $*$-algebras by unbounded operators on a Hilbert space. A number of examples are developed in detail.


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Additional Information

Lyudmila Turowska
Affiliation: Department of Mathematics, Chalmers University of Technology, 412 96 Göteborg, Sweden
Email: turowska@math.chalmers.se

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06525-5
PII: S 0002-9939(02)06525-5
Keywords: $*$-algebras, $*$-representations, unbounded operators, $*$-wildness.
Received by editor(s): June 12, 2000
Received by editor(s) in revised form: November 28, 2000, and May 31, 2001
Published electronically: March 18, 2002
Communicated by: David R. Larson
Article copyright: © Copyright 2002 American Mathematical Society