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math.AG2024
Equivariant Algebraic K-Theory and Derived completions III: Applications
Gunnar Carlsson, Roy Joshua, Pablo Pelaez
In the present paper, we discuss applications of the derived completion theorems proven in our previous two papers. One of the main applications is to Riemann-Roch problems for for…
math.AG2024
Equivariant Algebraic K-Theory and Derived completions II: the case of Equivariant Homotopy K-Theory and Equivariant K-Theory
Gunnar Carlsson, Roy Joshua, Pablo Pelaez
In the mid 1980s, while working on establishing completion theorems for equivariant Algebraic K-Theory similar to the well-known completion theorems for equivariant topological K-t…