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Results tagged with c-star-algebras
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user 166106
A C*-algebra is a complex Banach algebra together with an isometric antilinear involution satisfying (a b)* = b* a* and the C*-identity ‖a* a‖ = ‖a‖². Related tags: [banach-algebras], [von-neumann-algebras], [operator-algebras], [spectral-theory].
4
votes
1
answer
135
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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
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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