Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra On

DOI10.1017/is009010003jkt092zbMath1220.19004arXiv0801.4605OpenAlexW2065738031MaRDI QIDQ3061171

Adam Rennie, Alan L. Carey, John Phillips

Publication date: 14 December 2010

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

Full work available at URL: https://arxiv.org/abs/0801.4605

zbMATH Keywords

index theoryKMS stateCuntz algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) States of selfadjoint operator algebras (46L30) Index theory (19K56)

Related Items

Crossed product extensions of spectral triples, A modular spectral triple for \(\kappa\)-Minkowski space, Constructing KMS states from infinite-dimensional spectral triples, Families of type III KMS states on a class of \(C^*\)-algebras containing \(O_n\) and \({\mathcal Q}_{\mathbb N}\), The resolvent cocycle in twisted cyclic cohomology and a local index formula for the Podleś sphere, Shift–tail equivalence and an unbounded representative of the Cuntz–Pimsner extension, Spectral flow invariants and twisted cyclic theory for the Haar state on \(SU_q(2)\), Yang–Baxter endomorphisms, On the Chern-Gauss-Bonnet theorem and conformally twisted spectral triples for \(C^*\)-dynamical systems, Non-commutative integration, zeta functions and the Haar state for \(\mathrm{SU}_q(2)\)

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