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 |