Equivariant K-theory of finite dimensional real vector spaces
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Publication:3655960
zbMath1187.19005arXiv0903.1035MaRDI QIDQ3655960
Oliver Pfante, Siegfried Echterhoff
Publication date: 13 January 2010
Full work available at URL: https://arxiv.org/abs/0903.1035
(K)-theory and operator algebras (including cyclic theory) (46L80) Equivariant homology and cohomology in algebraic topology (55N91) Kasparov theory ((KK)-theory) (19K35) Equivariant (K)-theory (19L47) Vector spaces, linear dependence, rank, lineability (15A03)
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On the K-Theory of the Reduced $$C^*$$ C ∗ -Algebras of $$GL(n,\mathbb {R})$$ G L ( n , R ) and $$GL(n,\mathbb {C})$$ G L ( n , C ) ⋮ \(K\)-theory of noncommutative Bernoulli shifts ⋮ On the Connes-Kasparov isomorphism. I: The reduced \(\mathrm{C}^*\)-algebra of a real reductive group and the \(K\)-theory of the tempered dual. ⋮ Structure and \(K\)-theory of crossed products by proper actions ⋮ The Künneth theorem in equivariant \(K\)-theory for actions of a cyclic group of order 2 ⋮ \(K\)-theory of crossed products of tiling \(C^*\)-algebras by rotation groups
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