Abstract
In this paper, we introduce the notion of G-invariant recollements. Moreover, a series of examples of G-invariant recollements are provided. It is shown that each G-invariant recollement of derived categories of algebras induces that of skew group algebras. Applying this reuslt, we show that K-group decompositions and singularity equivalences can be preserved by taking skew group algebras.
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