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:
https://doi.org/10.1090/S0002-9939-02-06525-5

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