Equivariant K-theory of finite dimensional real vector spaces

Simple item page
dc.creatorEchterhoff, Siegfried
dc.creatorPfante, Oliver
dc.date2009-03-05
dc.date.accessioned2026-07-07T12:49:21Z
dc.date.available2026-07-07T12:49:21Z
dc.descriptionWe give a general formula for the equivariant complex $K$-theory $K_G^*(V)$ of a finite dimensional real linear space $V$ equipped with a linear action of a compact group $G$ in terms of the representation theory of a certain double cover of $G$. Using this general formula, we give explicit computations in various interesting special cases. In particular, as an application we obtain explicit formulas for the $K$-theory of $C_r^*(GL(n,\RR))$, the reduced group C*-algebra of $GL(n,\RR)$.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0903.1035
dc.identifierhttp://arxiv.org/abs/0903.1035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222374
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject19L64; 19K99; 46L80
dc.titleEquivariant K-theory of finite dimensional real vector spaces
dc.typetext

Files

Collections

arXiv