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YCor
YCor
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Suppose that $A\hookrightarrow B$ is an inclusióninclusion of $C^*$-álgebrasalgebras and let K$K$ be the algebra of compact operators on a separables hilbertseparable Hilbert space. Is it true thahthat the map $A\otimes K\hookrightarrow B\otimes K$ is injective?

Suppose that $A\hookrightarrow B$ is an inclusión of $C^*$-álgebras and let K be the algebra of compact operators on a separables hilbert space. Is it true thah the map $A\otimes K\hookrightarrow B\otimes K$ is injective?

Suppose that $A\hookrightarrow B$ is an inclusion of $C^*$-algebras and let $K$ be the algebra of compact operators on a separable Hilbert space. Is it true that the map $A\otimes K\hookrightarrow B\otimes K$ is injective?

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Yemon Choi
Yemon Choi
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Is the algebra of compact operators flat?

Suppose that $A\hookrightarrow B$ is an inclusión of $C^*$-álgebras and let K be the algebra of compact operators on a separables hilbert space. Is it true thah the map $A\otimes K\hookrightarrow B\otimes K$ is injective?