The Künneth Theorem in equivariant K–theory for actions of a cyclic group of order 2

Rosenberg, Jonathan¹

¹Department of Mathematics, University of Maryland, College Park, MD 20742-4015, USA

Algebraic and Geometric Topology, Tome 13 (2013) no. 2, pp. 1225-1241

Résumé

The Künneth Theorem for equivariant (complex) K–theory KG∗, in the form developed by Hodgkin and others, fails dramatically when G is a finite group, and even when G is cyclic of order 2. We remedy this situation in this very simplest case G = ℤ∕2 by using the power of RO(G)–graded equivariant K–theory.

Détail

DOI : 10.2140/agt.2013.13.1225

Classification : 19L47, 19K99, 55U25, 55N91
Keywords: Künneth theorem, equivariant $K$–theory, $\operatorname{RO}(G)$–graded

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