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A remark on the deformation of GNS representations of *-algebras

✍ Scribed by Waldmann, Stefan


Book ID
122579429
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
601 KB
Volume
48
Category
Article
ISSN
0034-4877

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πŸ“œ SIMILAR VOLUMES


Unbounded GNS representations of a*-alge
✍ J. -P. Antoine; S. Γ”ta πŸ“‚ Article πŸ“… 1989 πŸ› Springer 🌐 English βš– 375 KB

Al~traet. Given a \*-algebra 9.I and a linear, nonpositive definite, functional on it, the GNS construction yields a representation of 9./ in an indefinite metric space. We show that, if the functional satisfies a suitable condition, expressed in terms of a conditional expectation on 2, then the rep