On the KK-theory and the \(E\)-theory of amalgamated free products of \(C^{\ast}\)-algebras.
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Publication:1405087
DOI10.1016/S0022-1236(03)00084-3zbMath1034.46076MaRDI QIDQ1405087
Publication date: 25 August 2003
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Free probability and free operator algebras (46L54) (K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35)
Related Items (14)
Extended rotation algebras: Adjoining spectral projections to rotation algebras ⋮ Certain free products of graph operator algebras ⋮ Leavitt path algebras of separated graphs ⋮ The KK-theory of fundamental C*-algebras ⋮ The KK-theory of amalgamated free products ⋮ Semi-invertible extensions of \(C^{*}\)-algebras ⋮ C\(^*\)-algebras of separated graphs ⋮ \(K\)-theory for the tame \(C^{\ast}\)-algebra of a separated graph ⋮ \(K\)-theory for the crossed products by certain actions of \(\mathbb Z^2\) ⋮ Extensions of the reduced group \(C^{*}\)-algebra of a free product of amenable groups ⋮ The homoclinic and heteroclinic C*-algebras of a generalized one-dimensional solenoid ⋮ Remarks on HNN extensions in operator algebras ⋮ Relative nuclearity for \({C}^\ast\)-algebras and \(KK\)-equivalences of amalgamated free products ⋮ A $KK$-like picture for $E$-theory of $C^*$-algebras
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