Publications of the Research Institute for Mathematical Sciences · 1979 · 265 citations · 5 references
Natural SciencesMathematicsAlgebraDynamical SystemsSet TheoryAbstract AlgebraOperator TheoryOperator AlgebrasOperator Spaces
We show the existence and uniqueness of a minimal injective operator system (resp. minimal unital C *-algebra) "containing" a given operator system. V , which will be called the injective (resp. C *-) envelope of V . This result can be applied to prove the existence of the Silov boundary in the sense of Arveson, which was left open in [1].
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William Arveson · Acta Mathematica · 1969 · 1.2K citations · Full text
On subalgebras of $C^*$-algebras
William Arveson · Bulletin of the American Mathematical Society · 1969 · 163 citations · Full text