Algebraic K-theory of non-linear projective spaces

✍ Scribed by Thomas Hüttemann

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 436 KB
• Volume: 170
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(01)00088-3

✦ Synopsis

In the spirit of "The Fundamental Theorem for the algebraic K-theory of spaces: I" (J. Pure Appl. Algebra 160 (2001) 21-52) we introduce a category of sheaves of topological spaces on n-dimensional projective space and present a calculation of its K-theory, a "non-linear" analogue of Quillen's isomorphism Ki(P n R ) ∼ = n 0 Ki(R).