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Results tagged with oa.operator-algebras
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user 75215
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
3
votes
Accepted
Characterization of exact groups via the existence of amenable actions on unital C*-algebras...
The answer to the question is positive: see Remark 6.6 in the paper
https://arxiv.org/pdf/1904.06771.pdf
The approximation property implies amenability in the sense of Claire Anantharaman Delaroche, t …
- 536
1
vote
Accepted
Adjunction via Gelfand duality
$\DeclareMathOperator\Hom{Hom}$
Yes, this is true, and the proof is elementary: let us write $\Omega(A):=\Hom(A,\mathbb{C})$ for the space of characters of $A$, viewed as a subspace of the unit ball o …
- 536
13
votes
0
answers
171
views
Existence of more than two C*-norms on algebraic tensor product of C*-algebras
Let $A$ and $B$ be two C*-algebras. Then $(A,B)$ is called is a nuclear pair if there is a unique $C^*$-norm on the algebraic tensor product $A\odot B$.
If $A$ or $B$ is nuclear, then all pairs $(A,B) …
- 536
1
vote
A completely positive equivariant map $\varphi: A \to B$ induces a map $A \rtimes_r \Gamma \...
Here is a proof free of Hilbert space representations. I will use the notation $G$ instead of $\Gamma$ for the group, which could be also locally compact, and $\alpha$ will denote the action of $G$ on …
- 536