We describe spectral sequences of K-groups which can be constructed for a twisted quadratic extension of antistructures. These spectral sequences are based on Tate cohomology groups of the groups K_i(R) for i = 0, 1. The existence of such spectral sequences follows from an earlier work by Muranov if one uses the methods of construction of spectral sequences originally due to Hambleton and Kharshiladze. We describe the first differentials in these spectral sequences and then give some examples related to surgery.
Spectral sequences in K-theory for a twisted quadratic extension / Cavicchioli, Alberto; Muranov, Y. V.; Repovs, D.. - In: YOKOHAMA MATHEMATICAL JOURNAL. - ISSN 0044-0523. - STAMPA. - 46:(1998), pp. 1-13.
Spectral sequences in K-theory for a twisted quadratic extension
CAVICCHIOLI, Alberto;
1998
Abstract
We describe spectral sequences of K-groups which can be constructed for a twisted quadratic extension of antistructures. These spectral sequences are based on Tate cohomology groups of the groups K_i(R) for i = 0, 1. The existence of such spectral sequences follows from an earlier work by Muranov if one uses the methods of construction of spectral sequences originally due to Hambleton and Kharshiladze. We describe the first differentials in these spectral sequences and then give some examples related to surgery.
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