An Operator model for connective K-theory with reality

2013/07/11 by Gérald Gaudens, Gaudens, Gérald, Elke Markert +1
Mathematics · #19L41 #19L47 #55N15 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:19L41 #msc:19L47 #msc:55N15

paper · pdf · doi:10.48550/arxiv.1307.3143

arxiv created 2013/07/11 · arxiv updated 2013/07/12

Abstract

We construct an explicit model for the connective cover of the spectrum of K-theory with reality. This model is a \ztwo-equivariant commutative symmetric ring spectrum which identifies with another one due to D. Dugger.

Related

• The spectral model of (Real) K-theory
• A localization theorem for equivariant connective K theory
• Uniqueness of E_∞ structures for connective covers
• A kind of KK-theory for rings
• Topological K-theory of Equivariant Singularity Categories