4 papers
Lambda-ring structures on the K-theory of algebraic stacks
Roy Joshua, Pablo Pelaez
In this paper we consider the K-theory of smooth algebraic stacks, establish lambda and gamma operations, and show that the higher K-theory of such stacks is always a pre-lambda-ri…
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…
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…
The Motivic and Etale Becker-Gottlieb transfer and splittings
Gunnar Carlsson, Roy Joshua
In this paper, we establish the key properties of the motivic and étale Becker-Gottlieb transfer including compatibility with étale and Betti realization and show how to obtain v…