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Results tagged with ct.category-theory
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user 75215
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
1
vote
Accepted
Adjunction via Gelfand duality
$\DeclareMathOperator\Hom{Hom}$
Yes, this is true, and the proof is elementary: let us write $\Omega(A):=\Hom(A,\mathbb{C})$ for the space of characters of $A$, viewed as a subspace of the unit ball o …
- 536
4
votes
Accepted
Property of pushouts in the category of unital $C^{\ast}$-algebras
Unfortunately, the assertion is, in general, not true even if we just have a single (injective) unital $*$-homomorphism $f_1\colon A\to A_1$ and another (non-injective) unital $*$-homomorphism $g\colo …
- 536