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Products and duality in Waldhausen categories |
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| Authors: | Michael S Weiss Bruce Williams |
| Institution: | Department of Mathematics, University of Aberdeen, Aberdeen AB24 3UE, U.K. ; Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556 |
| Abstract: | The natural transformation  from  -theory to the Tate cohomology of  acting on  -theory commutes with external products. Corollary: The Tate cohomology of  acting on the  -theory of any ring with involution is a generalized Eilenberg-Mac Lane spectrum, and it is 4-periodic. |
| Keywords: | Products ring spectrum Tate cohomology surgery |
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