Note on the Serre-Swan theorem
β Scribed by Morye, Archana S.
- Book ID
- 118764117
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 132 KB
- Volume
- 286
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For a Hilbert C \* -module X over a C \* -algebra A, we introduce a vector bundle E X associated to X. We prove that E X has an hermitian metric and a flat connection. We introduce a vector space Ξ X of holomorphic sections of E X with the following properties: (i) Ξ X is a Hilbert A-module, (ii) th
## Abstract Let __R__ be a unital topological ring whose set of invertible elements is open and inversion is continuous, and let __X__ be a compact Hausdorff space admitting continuous __R__βvalued partitions of unity. Considering bundles over __X__ of fibre type a projective finitely generated __R