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Results tagged with oa.operator-algebras
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user 166106
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
4
votes
1
answer
135
views
Characterization of simple C*-algebras via GNS representations
Let $\mathfrak{A}$ be a [separable] unital C*-algebra and let $Q$ be a dense subset of the state space of $\mathfrak{A}$. Suppose that for each $f\in Q$ the associated GNS representation is faithful. …
- 73
3
votes
1
answer
115
views
Universal representations of quotient C*-algebras
Suppose that $\mathfrak{J}$ is a closed ideal of a C*-algebra $\mathfrak{A}$. Let $(\pi_u, H_u)$ be the universal representation of $\mathfrak{A}$. Is there a way to use these data to describe the uni …
- 73