Duality of Restriction and Induction for $C^*$-Coactions
| dc.creator | Kaliszewski, S. | |
| dc.creator | Quigg, John | |
| dc.creator | Raeburn, Iain | |
| dc.date | 1996-02-07 | |
| dc.date | 1996-04-26 | |
| dc.date.accessioned | 2026-07-07T09:02:55Z | |
| dc.date.available | 2026-07-07T09:02:55Z | |
| dc.description | Consider a coaction $δ$ of a locally compact group $G$ on a \cstar algebra $A$, and a closed normal subgroup $N$ of $G$. We prove, following results of Echterhoff for abelian $G$, that Mansfield's imprimitivity between $A\times_{δ|}G/N$ and $A\times_δG\times_{\deltahat,r}N$ implements equivalences between Mansfield induction of representations from $A\times G/N$ to $A\times G$ and restriction of representations from $A\times G\times_r N$ to $A\times G$, and between restriction of representations from $A\times G$ to $A\times G/N$ and Green induction of representations from $A\times G$ to $A\times G\times_r N$. This allows us to deduce properties of Mansfield induction from the known theory of ordinary crossed products. | |
| dc.description | 42 pages, LaTeX 2e, requires amscd.sty and pb-diagram.sty. Revisions include amendment of the proofs of Theorems 3.1, 4.1, 5.2 and 5.4, which had relied on the false Lemma 2.3 in [KQ95]. Two new lemmas have been inserted early in Section 5 to facilitate this | |
| dc.identifier | https://arxiv.org/abs/funct-an/9602004 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9602004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148810 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Duality of Restriction and Induction for $C^*$-Coactions | |
| dc.type | text |