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Results tagged with oa.operator-algebras
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user 45683
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
2
votes
$*$-representation $\pi:A\odot B\to B(H_1\otimes H_2)$ such that $\pi \neq \pi_1\otimes \pi_2$
Let $A=B=c_{\circ} \subseteq B(\ell^2)$.
Let $\sigma:A \otimes B \to B(\ell^2 \otimes \ell^2)$ such that $\sigma(f \otimes g)=fg \otimes 1$.
It is not hard to show that $\sigma$ is a representation.
…
- 81
6
votes
1
answer
319
views
C*-envelope of an operator system by an action
Let $V$ be an operator System in $B(H)$. By Hamana and Ruan theorems, there is an injective envelope $I(V)$ which is minimal injective subspace of $B(H)$ contains $V$.
Thus there is a completely contr …
- 81