Trace and the regular ring of a finite 𝐴𝑊*-algebra

Berberian, S. K.

doi:10.1090/S0002-9939-1980-0587932-6

Trace and the regular ring of a finite $AW^{\ast }$-algebra
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by S. K. Berberian

Proc. Amer. Math. Soc. 80 (1980), 584-586

DOI: https://doi.org/10.1090/S0002-9939-1980-0587932-6

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Abstract:

A finite $\text {AW}^*$-algebra is of type I if and only if its maximal ring of quotients has a center-valued trace. In particular, a center-valued trace need not be extendible to the maximal (or classical) ring of quotients.

References

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Sur l’anneau maximal de fractions des $\mathrm {AW}^*$-algèbres et des anneaux de Baer

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