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Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
1
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Is the algebra of bounded operators stable?
Let $H$ be a separable Hilbert space. Is it true that there is an isomorphism of $C^*$-algebras $$B(H)\hat{\otimes} K(H)\cong B(H)$$ where $B(H)$ is the algebra of bounded operators, $K(H)$ is the ide …
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Atkinson-Mingo theorem
I've been read the book "$K$-theory and $C^*$-algebras" by Olsen. In the chapter on the generalized Fredholm index the following definitions are given:
Let $A$ be a $C^*$-algebra and $H_A$ the standa …