Crossed products by $C_0(X)$-actions
| dc.creator | Echterhoff, Siegfried | |
| dc.creator | Williams, Dana P. | |
| dc.date | 1997-06-17 | |
| dc.date.accessioned | 2026-07-07T09:13:48Z | |
| dc.date.available | 2026-07-07T09:13:48Z | |
| dc.description | Suppose that $G$ has a representation group $H$, that $G_{ab}:= G/\bar{[G,G]}$ is compactly generated, and that $A$ is a \cs-algebra for which the complete regularization of $\Prim(A)$ is a locally compact Hausdorff space $X$. In a previous article, we showed that there is a bijection $α\mapsto (Z_α,f_α)$ between the collection of exterior equivalence classes of locally inner actions $α:G\to\Aut(A)$, and the collection of principal $\hgab$-bundles $Z_α$ together with continuous functions $f_α:X\to H^2(G,\T)$. In this paper, we compute the crossed products $A\rtimes_αG$ in terms of the data $Z_α$, $f_α$, and~$\cs(H)$. | |
| dc.description | 41 pages AMS-LaTeX -- sequel to funct-an/9706002 | |
| dc.identifier | https://arxiv.org/abs/funct-an/9706003 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9706003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152452 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Crossed products by $C_0(X)$-actions | |
| dc.type | text |