Multiplicative Ktheory

General Introduction
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Search results
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Online References
Karoubi: "In this paper we introduce a new type of Ktheory, called "multiplicative Ktheory" kn(A) for A a Frechet algebra, which is intermediary between algebraic Ktheory, denoted Kn(A), and topological Ktheory, denoted Kntop(A). This new theory is computable in terms of Kntop(A) and cyclic homology HC*(A). The homomorphism from Kn(A) to kn(A) we define in the paper detects all known primary and secondary characterictic classes from algebraic Ktheory to cyclic homology (for example the Borel regulator if A = the field of complex numbers). It is related to the multiplicative character of a Fredholm module defined previously by A. Connes and the author."
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
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Other Information
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