Tamme, Georg (2018) Excision in algebraic K-theory revisited. COMPOSITIO MATHEMATICA, 154 (9). pp. 1801-1814. ISSN 0010-437X, 1570-5846
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By a theorem of Suslin, a Tor-unital (not necessarily unital) ring satisfies excision in algebraic K-theory. We give a new and direct proof of Suslin's result based on an exact sequence of categories of perfect modules. In fact, we prove a more general descent result for a pullback square of ring spectra and any localizing invariant. Our descent theorem contains not only Suslin's result, but also Nisnevich descent of algebraic K-theory for affine schemes as special cases. Moreover, the role of the Tor-unitality condition becomes very transparent.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TOPOLOGICAL CYCLIC HOMOLOGY; LOCALIZATION; excision; localizing invariant; algebraic K-theory |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Jan 2020 07:37 |
| Last Modified: | 10 Jan 2020 07:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/14010 |
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