Traces on non-commutative homogeneous spaces
| dc.creator | Landstad, Magnus B. | |
| dc.date | 2001-04-05 | |
| dc.date | 2001-10-05 | |
| dc.date.accessioned | 2026-07-07T04:41:02Z | |
| dc.date.available | 2026-07-07T04:41:02Z | |
| dc.description | We study properties of C*-algebraic deformations of homogeneous spaces $G/Γ$ which are equivariant in the sense that they preserve the natural action of $G$ by left translation. The center is shown to be isomorphic to $C(G/G_ρ^0)$ for a certain subgroup $G_ρ^0$ of $G$, and there is a 1-1 correspondence between normalised traces and probability measures on $G/G_ρ^0$. This makes it possible to represent the deformed algebra as operators over $L^2(G/Γ)$. Applications to K-theory are also mentioned. | |
| dc.description | 12 pages, an error in the first version has been corrected. To appear in J. Funct. Anal | |
| dc.identifier | https://arxiv.org/abs/math/0104067 | |
| dc.identifier | http://arxiv.org/abs/math/0104067 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61245 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L65 | |
| dc.title | Traces on non-commutative homogeneous spaces | |
| dc.type | text |