Representable E-theory for Co(X)-algebras
| dc.creator | Park, Efton | |
| dc.creator | Trout, Jody | |
| dc.date | 2000-06-23 | |
| dc.date | 2002-03-28 | |
| dc.date.accessioned | 2026-07-25T22:48:55Z | |
| dc.description | Let X be a locally compact space, and let A and B be Co(X)-algebras. We define the notion of an asymptotic Co(X)-morphism from A to B and construct representable E-theory groups RE(X;A,B). These are the universal groups on the category of separable Co(X)-algebras that are Co(X)-stable, Co(X)-homotopy-invariant, and half-exact. If A is RKK(X)-nuclear, these groups are naturally isomorphic to Kasparov's representable KK-theory groups RKK(X;A,B). Applications and examples are also discussed. | |
| dc.description | For journal version, see http://www.idealibrary.com/links/doi/10.1006/jfan.2000.3654 | |
| dc.identifier | https://arxiv.org/abs/math/0006182 | |
| dc.identifier | http://arxiv.org/abs/math/0006182 | |
| dc.identifier | Journal of Functional Analysis, 177 (2000) 178-202 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/92773 | |
| dc.subject | Operator Algebras | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 19K35 (primary) 46L80 (Secondary) | |
| dc.title | Representable E-theory for Co(X)-algebras | |
| dc.type | text |