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Shuffle products in higher K-theory

Shuffle products in higher K-theory
Shuffle products in higher K-theory
We construct shuffle products in higher K-theory. By means of these shuffle products we show that the exterior power operations in higher K-theory defined by D. Grayson are compatible (already on the simplicial level) with the direct sum and with the symmetric power operations in the expected way. Furthermore we investigate the connection between the shuffle products and the usual products in higher K-theory.
0022-4049
269-307
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9

Koeck, Bernhard (1994) Shuffle products in higher K-theory. Journal of Pure and Applied Algebra, 92 (3), 269-307.

Record type: Article

Abstract

We construct shuffle products in higher K-theory. By means of these shuffle products we show that the exterior power operations in higher K-theory defined by D. Grayson are compatible (already on the simplicial level) with the direct sum and with the symmetric power operations in the expected way. Furthermore we investigate the connection between the shuffle products and the usual products in higher K-theory.

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Published date: 1994

Identifiers

Local EPrints ID: 478855
URI: http://eprints.soton.ac.uk/id/eprint/478855
ISSN: 0022-4049
PURE UUID: e877e283-1278-4211-855d-011b1d37ecb1
ORCID for Bernhard Koeck: ORCID iD orcid.org/0000-0001-6943-7874

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Date deposited: 11 Jul 2023 17:08
Last modified: 17 Mar 2024 02:53

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