Families of type III KMS states on a class of \(C^*\)-algebras containing \(O_n\) and \({\mathcal Q}_{\mathbb N}\)

DOI10.1016/J.JFA.2010.12.031zbMath1217.46039arXiv1001.0424OpenAlexW1990139292MaRDI QIDQ630779

Ian F. Putnam, Alan L. Carey, John Phillips, Adam Rennie

Publication date: 21 March 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0424

zbMATH Keywords

\(K\)-theoryKMS stateIII\(_\lambda\) factormodular indextwisted cyclic theory

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) States of selfadjoint operator algebras (46L30)

Related Items (5)

Type III representations and modular spectral triples for the noncommutative torus ⋮ Modular spectral triples and deformed Fredholm modules ⋮ Compact \(\kappa \)-deformation and spectral triples ⋮ The resolvent cocycle in twisted cyclic cohomology and a local index formula for the Podleś sphere ⋮ A new approach to recent constructions of \(C^\ast\)-algebras from modular index theory

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