Constructing KMS states from infinite-dimensional spectral triples
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2019.05.006
Abstract: 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… read more here.
Keywords: kms states; constructing kms; states infinite; spectral triples ... See more keywords
KMS states on C⁎-algebras associated to a family of ⁎-commuting local homeomorphisms
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.01.013
Abstract: Abstract We consider a family of ⁎-commuting local homeomorphisms on a compact space, and build a compactly aligned product system of Hilbert bimodules. The Nica–Toeplitz algebra of this system carries a gauge action of a… read more here.
Keywords: family commuting; kms states; commuting local; states algebras ... See more keywords
KMS states on the Toeplitz algebras of higher-rank graphs
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.123841
Abstract: Abstract The Toeplitz algebra T C ⁎ ( Λ ) for a finite k-graph Λ is equipped with a continuous one-parameter group α r for each r ∈ R k , obtained by composing the… read more here.
Keywords: kms states; higher rank; states toeplitz; rank graphs ... See more keywords