
doi: 10.1007/bf02278033
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.
Hilbert algebra, Linear function spaces and their duals, *-algebra, *-homomorphism, non-trivial trace, Hilbert algebras
Hilbert algebra, Linear function spaces and their duals, *-algebra, *-homomorphism, non-trivial trace, Hilbert algebras
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