Locally Inner Actions on $C_0(X)$-Algebras
| dc.creator | Echterhoff, Siegfried | |
| dc.creator | Williams, Dana P. | |
| dc.date | 1997-06-17 | |
| dc.date.accessioned | 2026-07-07T09:13:47Z | |
| dc.date.available | 2026-07-07T09:13:47Z | |
| dc.description | We make a detailed study of locally inner actions on C*-algebras whose primitive ideal spaces have locally compact Hausdorff complete regularizations. We suppose that $G$ has a representation group and compactly generated abelianization $G_{ab}$. Then if the complete regularization of $\Prim(A)$ is $X$, we show that the collection of exterior equivalence classes of locally inner actions of $G$ on $A$ is parameterized by the group $\E_G(X)$ of exterior equivalence classes of $C_0(X)-actions of $G$ on $C_0(X,\K)$. Furthermore, we exhibit a group isomorphism of $\E_G(X)$ with the direct sum $H^1(X,\sheaf \hat{G_{ab}}) \oplus C(X,H^2(G,\T))$. As a consequence, we can compute the equivariant Brauer group $\Br_G(X)$ for $G$ acting trivially on $X$. | |
| dc.description | 33 pages AMS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/funct-an/9706002 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9706002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152451 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Locally Inner Actions on $C_0(X)$-Algebras | |
| dc.type | text |