Gibbs Measures on Multidimensional Spaces. Equivalences and a Groupoid Approach

R Bissacot, BH Fukushima-Kimura, RP Lima… - arXiv preprint arXiv …, 2023 - arxiv.org
We consider some of the main notions of Gibbs measures on subshifts introduced by
different communities, such as dynamical systems, probability, operator algebras, and …

KMS spectra for group actions on compact spaces

J Christensen, S Vaes - Communications in Mathematical Physics, 2022 - Springer
Given a topologically free action of a countable group G on a compact metric space X, there
is a canonical correspondence between continuous 1-cocycles for this group action and …

The admissible KMS bundles on classifiable C-algebras

R Neagu - arXiv preprint arXiv:2401.14096, 2024 - arxiv.org
Given any unital, finite, classifiable C $^* $-algebra $ A $ with real rank zero and any
compact simplex bundle with the fibre at zero being homeomorphic to the space of tracial …

KMS states on crossed products by abelian groups

J Christensen, K Thomsen - arXiv preprint arXiv:2006.14443, 2020 - arxiv.org
We provide a general description of the KMS states for flows whose fixed point algebra
satisfies a certain regularity condition. This is the applied to crossed products by discrete …

Applications of classification of C*-algebras

RM Neagu - 2024 - ora.ox.ac.uk
In this thesis, we will use classification results for C∗-algebras and∗-homomorphisms
between them to characterise nuclear dimension equal to zero for a large class of∗ …

KMS states on

A Arjunan, S Sundar - Glasgow Mathematical Journal, 2023 - cambridge.org
KMS states on C (N2 ) Page 1 Glasgow Mathematical Journal (2023), 65, pp. 501–528 doi:10.1017/S0017089523000071
RESEARCH ARTICLE KMS states on C ∗ c (N2 ) Anbu Arjunan1 , Sruthymurali2 and S …

[PDF][PDF] On the existence of absolutely continuous conformal measures

K Athanassopoulos - users.math.uoc.gr
Let X be a compact metric space and T: X→ X a continuous surjection. We present sufficient
conditions which imply the existence of absolutely continuous conformal measures for T with …