### Abstract

The natural transformation Xi from L-theory to the Tate cohomology of Z/2 acting on K-theory commutes with external products. Corollary: The Tate cohomology of Z/2 actingon the K-theory of any ring with involution is a generalized Eilenberg-Mac Lane spectrum, and it is 4-periodic.

Original language | English |
---|---|

Pages (from-to) | 689-709 |

Number of pages | 21 |

Journal | Transactions of the American Mathematical Society |

Volume | 352 |

Publication status | Published - 2000 |

### Keywords

- products
- ring spectrum
- Tate cohomology
- surgery
- ALGEBRAIC K-THEORY
- SPACES
- SEGAL
- FORMS

## Cite this

Weiss, M. S., & Williams, B. (2000). Products and duality in Waldhausen categories.

*Transactions of the American Mathematical Society*,*352*, 689-709.