Abstract
In this note, we construct a BSE-algebra of type I which is isomorphic to no C$^*$-algebras. This affirmatively solves the problem posed by Takahasi and Hatori, ``is there a BSE-algebra of type I isomorphic to no C$^*$-algebras?''
Citation
Jyunji Inoue. Sin-Ei Takahasi. "A construction of a BSE-algebra of type I which is isomorphic to no $\rm C^*$-algebras." Rocky Mountain J. Math. 47 (8) 2693 - 2697, 2017. https://doi.org/10.1216/RMJ-2017-47-8-2693
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