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Operator K-Theory
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Geliefert zwischen Mi., 28.01.2026 und Do., 29.01.2026
Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, operator K-theory is a variant of K-theory on the category of Banach algebras (In most applications, these Banach algebras are C -algebras). Its basic feature that distinguishes it from algebraic K-theory is that it has a Bott periodicity. So there are only two K-groups, namely K0, equal to algebraic K0, and K1. As a consequence of the periodicity theorem, it satisfies excision. This means that it associates to an extension of C -algebras an exact cyclic 6-term-sequence. Operator K-theory is a generalization of topological K-theory, defined by means of vector bundles on locally compact Hausdorff spaces. Here, an n-dimensional vector bundle over a topological space X is associated to a projection in Mn(C(X)), where C(X) is the C algebra of continuous functions over X. Also, it is known that homotopy equivalence of vector bundles translates to Murray-von Neumann equivalence of the associated projection.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131307294
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131307294
- Format Fachbuch
- Titel Operator K-Theory
- Herausgeber Betascript Publishing
- Anzahl Seiten 80
- Genre Mathematik
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