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The reductive Borel–Serre compactification as a model for unstable algebraic K-theory.
- Source :
-
Selecta Mathematica, New Series . Feb2024, Vol. 30 Issue 1, p1-93. 93p. - Publication Year :
- 2024
-
Abstract
- Let A be an associative ring and M a finitely generated projective A-module. We introduce a category RBS (M) and prove several theorems which show that its geometric realisation functions as a well-behaved unstable algebraic K-theory space. These categories RBS (M) naturally arise as generalisations of the exit path ∞ -category of the reductive Borel–Serre compactification of a locally symmetric space, and one of our main techniques is to find purely categorical analogues of some familiar structures in these compactifications. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10221824
- Volume :
- 30
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Selecta Mathematica, New Series
- Publication Type :
- Academic Journal
- Accession number :
- 174526945
- Full Text :
- https://doi.org/10.1007/s00029-023-00900-8