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Timeline for Endomorphisms of the Cuntz algebra

Current License: CC BY-SA 4.0

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Feb 26, 2022 at 17:27 comment added C-star-W-star From reading theorem 1 and it’s proof from the referenced paper: One can simply take the generating Cuntz isometries $a_{1\leq i\leq n}=u_1,\ldots,u_n$ and the self adjoint elements all zero $b_j\equiv 0$. That will sufficiently do the job then for $\mathcal{O}_n\otimes M_n=\mathcal{O}_n$ and the single generator will then have the pretty form $x:=\begin{pmatrix}a’_1\\&\ddots\\&&a’_n\end{pmatrix}$ with shifted generators $a’_i=a_i +s_i1$.
Nov 1, 2020 at 15:55 vote accept worldreporter
Oct 30, 2020 at 16:15 history answered Jamie Gabe CC BY-SA 4.0