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Results tagged with oa.operator-algebras
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user 12136
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
6
votes
Accepted
topology on the automorphism group of a C* algebra
If $Aut(A)$ carries the uniform topology but $U(A)/Z(U(A))$ the topology induced by the strict one, then the bijection is not continuous.
For example, let $A=C_0(N,M_2(C))$ be the $C^*$-algebra of a …
4
votes
Can we characterize the spatial tensor product of von Neumann algebras categorically?
I am not sure whether this helps, but along the lines of the comment of Theo Johnson-Freyd, one can say the following:
If $A,B,C$ are von Neumann algebras and $Mod(A),Mod(B),Mod(C)$ their categories …