On the entire cyclic cohomology of Banach algebras.
| dc.contributor.author | Khalkhali, Masoud. | en_US |
| dc.contributor.degree | Ph.D. | en_US |
| dc.date.accessioned | 2014-10-21T12:35:06Z | |
| dc.date.available | 1991 | |
| dc.date.issued | 1991 | en_US |
| dc.description | In this thesis we study some aspects of A. Connes' entire cyclic cohomology theory. This is a new cohomology theory of de Rham type for Banach algebras. We prove a comparison theorem which shows that the theory can be formulated in terms of the Loday-Quillen-Tsygan bicomplex. This allows us to extend the theory to the non-unital category and is a basis for the rest of the thesis. We improve on the existing formulas for pairing with K-theory and prove stability and additivity results for the theory. Finally, we prove a vanishing theorem for actions of derivations on the theory and deduce the homotopy invariance of the theory. | en_US |
| dc.description | Thesis (Ph.D.)--Dalhousie University (Canada), 1991. | en_US |
| dc.identifier.other | AAINN71501 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10222/55266 | |
| dc.language | eng | en_US |
| dc.publisher | Dalhousie University | en_US |
| dc.publisher | en_US | |
| dc.subject | Mathematics. | en_US |
| dc.title | On the entire cyclic cohomology of Banach algebras. | en_US |
| dc.type | text | en_US |
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