Which compacta are noncommutative ARs?
| dc.creator | Chigogidze, A. | |
| dc.creator | Dranishnikov, A. N. | |
| dc.date | 2009-02-17 | |
| dc.date.accessioned | 2026-07-07T12:43:26Z | |
| dc.date.available | 2026-07-07T12:43:26Z | |
| dc.description | We give a short answer to the question in the title: {\em dendrits}. Precisely we show that the $C^{\ast}$-algebra $C(X)$ of all complex-valued continuous functions on a compactum $X$ is projective in the category ${\mathcal C}^{1}$ of all (not necessarily commutative) unital $C^{\ast}$-algebras if and only if $X$ is an absolute retract of dimension $\dim X \leq 1$ or, equivalently, that $X$ is a dendrit. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0902.3020 | |
| dc.identifier | http://arxiv.org/abs/0902.3020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220421 | |
| dc.subject | Operator Algebras | |
| dc.subject | Geometric Topology | |
| dc.subject | 46M10 | |
| dc.title | Which compacta are noncommutative ARs? | |
| dc.type | text |