Let $V$ be a $\mathbb{C}$-vector space of arbitrary dimension and let $R$ be its endomorphism ring. Can we describe the subring $S$ generated by $R^\times = \text{GL}(V)$?
If $\text{dim}(V) < \infty$, it's easy to see $R = S$. But in general?
from Hot Weekly Questions - Mathematics Stack Exchange
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