Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor

DOI10.1007/BF00533214zbMath0732.46039MaRDI QIDQ808392

John Phillips, Alan L. Carey

Publication date: 1991

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

homotopy typeBDF K-functor ExtClifford module structurehomotopy equivalent to the space of the Beuer-Fredholm operatorsKasparov KK-theoryright Hilbert M-modulestable half-exact homotopy functorsymmetric generalized Schatten type ideal

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Kasparov theory ((KK)-theory) (19K35)

Related Items (7)

\(K\)-theory with \(\mathbb{R}/\mathbb{Z}\) coefficients and von Neumann algebras ⋮ Spectral invariance of smooth crossed products, and rapid decay locally compact groups ⋮ Examples of odd index theorems ⋮ A discrete model of the integer quantum Hall effect ⋮ The local index formula in semifinite von Neumann algebras. I: Spectral flow ⋮ The local index formula in semifinite von Neumann algebras. II: the even case ⋮ A classifying space for \(K^1(X,R)\) and extensions to Hilbert modules

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