Ossa's Theorem via the Kunneth formula

2010/08/01 by Robert Bruner, Bruner, Robert, Khairia Mira +5
Mathematics · #55N15 #55N20 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55N15 #msc:55N20

paper · pdf · doi:10.48550/arxiv.1008.0166

9 pages

arxiv created 2010/08/01 · arxiv updated 2010/08/03

Abstract

Let p be a prime. We calculate the connective unitary K-theory of the smash product of two copies of the classifying space for the cyclic group of order p, using a Künneth formula short exact sequence. As a corollary, using the Bott exact sequence and the mod 2 Hurewicz homomorphism we calculate the connective orthogonal K-theory of the smash product of two copies of the classifying space for the cyclic group of order two.

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