Induced character in equivariant K-theory, wreath products and pullback of groups
نویسندگان
چکیده
Let G be a finite group and let X compact G-space. In this note we study the (Z+ × Z/2Z)-graded algebra
 FqG (X) = ⊕n ≤ 0 qn · KG∫Gn(Xn) ⊗ C,
 defined in terms of equivariant K-theory with respect to wreath products as symmetric algebra, review some properties proved by Segal Wang. We prove Kunneth type formula for graded algebras, more specifically, H another Y H-space, give decomposition (X Y) FqH (Y). For this, need representation theory pullbacks groups. discuss also applications above result connective K-homology.
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ژورنال
عنوان ژورنال: Revista colombiana de matematicas
سال: 2022
ISSN: ['2357-4100', '0034-7426']
DOI: https://doi.org/10.15446/recolma.v56n1.105613