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Bézout's theorem for non-commutative projective spaces

✍ Scribed by I. Mori; S. Paul Smith


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
176 KB
Volume
157
Category
Article
ISSN
0022-4049

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✦ Synopsis


theorem for non-commutative analogues of the projective spaces P n .


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Serre–Swan theorem for non-commutative C
✍ Katsunori Kawamura 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 185 KB

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 Γ X of holomorphic sections of E X with the following properties: (i) Γ X is a Hilbert A-module, (ii) th