To the top

Page Manager: Webmaster
Last update: 9/11/2012 3:13 PM

Tell a friend about this page
Print version

Constructing KMS states f… - University of Gothenburg, Sweden Till startsida
To content Read more about how we use cookies on

Constructing KMS states from infinite-dimensional spectral triples

Journal article
Authors Magnus Goffeng
A. Rennie
Alexandr Usachev
Published in Journal of Geometry and Physics
Volume 143
Pages 107-149
ISSN 0393-0440
Publication year 2019
Published at Department of Mathematical Sciences
Pages 107-149
Language en
Keywords Kasparov module, KMS-state, spectral triple, Summability
Subject categories Mathematics


We construct KMS-states from Li1-summable semifinite spectral triples and show that in several important examples the construction coincides with well-known direct constructions of KMS-states for naturally defined flows. Under further summability assumptions the constructed KMS-state can be computed in terms of Dixmier traces. For closed manifolds, we recover the ordinary Lebesgue integral. For Cuntz–Pimsner algebras with their gauge flow, the construction produces KMS-states from traces on the coefficient algebra and recovers the Laca–Neshveyev correspondence. For a discrete group acting on its Stone–Čech boundary, we recover the Patterson–Sullivan measures on the Stone-Čech boundary for a flow defined from the Radon–Nikodym cocycle. © 2019 Elsevier B.V.

Page Manager: Webmaster|Last update: 9/11/2012

The University of Gothenburg uses cookies to provide you with the best possible user experience. By continuing on this website, you approve of our use of cookies.  What are cookies?