𝔖 Bobbio Scriptorium
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Singularities of algebraic surfaces with C* action

✍ Scribed by Peter Orlik; Philip Wagreich


Publisher
Springer
Year
1971
Tongue
English
Weight
980 KB
Volume
193
Category
Article
ISSN
0025-5831

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Assume that X is a compact connected orientable nonsingular real algebraic variety with an algebraic free S 1 -action so that the quotient Y = X=S 1 is also a real algebraic variety. If : X β†’ Y is the quotient map then the induced map between reduced algebraic K-groups, X ) denoting the ring of ent

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✍ M.A. Rieffel πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 628 KB

We show that the topological \(K\)-groups of a \(C^{*}\)-algebra deformed by an action of \(R^{d}\) are isomorphic to those of the original \(C^{*}\)-algebra. We do this by exhibiting the deformed algebra as a suitable generalized fixed-point algebra. This also shows that the deformed algebra is nuc