Multiplicative K-theory and K-theory of Functors |
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Authors: | Marcello Felisatti |
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Affiliation: | (1) Department of Mathematics, University of Leicester, University Road, Leicester, LE1 7RH, United Kingdom |
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Abstract: | In this article we give a construction of Max Karoubi’s multiplicative K-theory as the K-theory of an appropriate functor between two categories. We use this construction to explain why the two definitions of relative multiplicative K-theory for a compact pair of manifolds we give in the article agree. Part of this work has been done while I was holding an EEC postdoctoral position funded by the network ‘Algebraic K-theory, linear algebraic groups and related structures’ at University College Dublin. I would like to thank Professor David Lewis for inviting me to Dublin. During the later stages of the work, I was supported by EPSERC grant GR/S08046/01. |
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Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). 55N15 18F05 |
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