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Is it true that $$( V \otimes^{max}W)^+=V^+ \otimes^ {max} W^+$$

For any $C^*-$ algebra $V$ assume that $V^+$ denotes the unitization of $V$. Let $V$ and $W$ be two $C^*-$ algebras then is it true that $$( V \otimes^{max}W)^+\cong V^+ \otimes^ {max} W^+$$ I guess ...
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Dense Stein subset in complex manifold

Let $X$ be a smooth proper algebraic variety. Then $X$ has a dense affine open subset. In particular, any smooth proper algebraic variety has a dense Stein open subset as the complement of a divisor. ...
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Find a strong connected components for the graph [on hold]

I need a help with a homework of discrete mathematics, I’ll be really grateful for anyone who will be able to help me https://3.top4top.net/p_1245ww3160.jpg Thanks for everybody
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HTTP GET request in math [on hold]

How would I go about making an HTTP GET request? I've tried looking at Curl for math, but it just doesn't provide enough information. Can I do something like this? $d = g([S,O,M,E,U,R,L])$ Thanks.
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The cobordism hypothesis, and the bordism n-category as a free construction

In this question, I write $\text{Bord}_n$ for the symmetric monoidal $n$-category of framed n-bordisms, and $\text{D}_n$ for the free symmetric monoidal $n$-category with all duals on the terminal ...
Suppose I parametrize complex plane by coordinates,$$z = x+i y,\ \bar z=x-i y$$ then the upper half plane, $\mathbb H_+$ is given by $y>0$. I am looking for chiral coordinate transformations, $f(z)$...
My apologies in advance if my question is obvious or elementary. We identify elements of $S^3$ with their quaternion representation $x_1 + x_2i + x_3j + x_4k$. We consider two independent vector ...