Descent properties of equivariant K-theory
Christian Serpe
TL;DR
This paper proves that equivariant K-theory satisfies descent in the isovariant Nisnevich topology by establishing its regular, complete, and bounded cd topology properties.
Contribution
It demonstrates that equivariant K-theory adheres to descent in a specific topology, advancing understanding of its structural properties.
Findings
Equivariant K-theory satisfies descent in the isovariant Nisnevich topology.
The isovariant Nisnevich topology is a regular, complete, and bounded cd topology.
Abstract
We show that equivariant K-theory satisfies descent with respect to the isovariant Nisnevich topology. The main step is to show that the isovariant Nisnevich topology is a regular, complete and bounded cd topology.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory