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Weibel's conjecture for
twisted $K$-theory
Joel Stapleton |
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Vol. 5 (2020), No. 3, 621–637
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Abstract |
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We prove Weibel’s conjecture for twisted -theory when twisting by a smooth proper connective dg-algebra. Our main contribution is showing we can kill a negative twisted -theory class using a projective birational morphism (in the same twisted setting). We extend the vanishing result to relative twisted -theory of a smooth affine morphism and describe counterexamples to some similar extensions. |
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Keywords
algebraic $K$-theory, Brauer groups, excision
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Mathematical Subject Classification 2010
Primary: 16E20, 19D35
Secondary: 14F22, 16K50
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Milestones
Received: 4 February 2020
Revised: 2 April 2020
Accepted: 20 April 2020
Published: 28 July 2020
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Authors |
| Joel Stapleton | |
| Joel Stapleton University of Illinois at Chicago Chicago, IL United States |
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