Bibliographic Details
| Title: |
The reductive Borel–Serre compactification as a model for unstable algebraic K-theory. |
| Authors: |
Clausen, Dustin1 (AUTHOR), Jansen, Mikala Ørsnes1 (AUTHOR) mikala@math.ku.dk |
| Superior Title: |
Selecta Mathematica, New Series. Feb2024, Vol. 30 Issue 1, p1-93. 93p. |
| Subject Terms: |
*K-theory, *ASSOCIATIVE rings, *ALGEBRAIC spaces, *SYMMETRIC spaces, *COMPACTIFICATION (Mathematics), *GENERALIZATION |
| 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] |
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| Database: |
Academic Search Premier |
