Abstract
The polysimplicial schemes representing the spectrum of algebraic K-theory are constructed. Their cohomology and K-theory is partially computed, with application to the construction of the delooping of Chern character and Adams operations. The interpretation of \(ch|_{K_i }\) as a cohomology operation of higher order with respect to \(ch|_{K_{i - 1} }\) is given.
Keywords
- Spectral Sequence
- Chern Class
- Full sUbcategory
- Simplicial Object
- Cohomology Theory
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© 1987 Springer-Verlag
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Schechtman, V.V. (1987). On the delooping of Chern character and Adams operations. In: Manin, Y.I. (eds) K-Theory, Arithmetic and Geometry. Lecture Notes in Mathematics, vol 1289. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078371
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DOI: https://doi.org/10.1007/BFb0078371
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