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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

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) …
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 …
Alcides Buss's user avatar