Traces, bitraces and Hilbert algebras (Q1192294)
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scientific article; zbMATH DE number 60710
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Traces, bitraces and Hilbert algebras |
scientific article; zbMATH DE number 60710 |
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Traces, bitraces and Hilbert algebras (English)
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27 September 1992
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The author shows that a *-algebra \(A\) has a non-trivial trace if there is a *-homomorphism of \(A\) onto a non-zero Hilbert algebra \(K\), and conversely a non-trivial trace on a normed *-algebra \(A\) satisfying \(A^ 2\) is dense in \(A\) gives rise to a non-zero *-homomorphism of \(A\) onto a Hilbert algebra.
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*-algebra
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non-trivial trace
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*-homomorphism
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Hilbert algebra
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