Isotropy fibers of ideals in groupoid C⁎-algebras
J Christensen, S Neshveyev - Advances in Mathematics, 2024 - Elsevier
Given a locally compact étale groupoid and an ideal I in its groupoid C⁎-algebra, we show
that I defines a family of ideals in group C⁎-algebras of the isotropy groups and then study to …
that I defines a family of ideals in group C⁎-algebras of the isotropy groups and then study to …
[图书][B] Introduction to KMS Weights
K Thomsen - 2024 - books.google.com
This book provides an introduction to the theory of KMS weights and KMS states, which play
an important role in mathematical physics and other applications of operator algebras …
an important role in mathematical physics and other applications of operator algebras …
Thermodynamic formalism for generalized Markov shifts on infinitely many states
R Bissacot, R Exel, R Frausino, T Raszeja - arXiv preprint arXiv …, 2018 - arxiv.org
Given a 0-1 infinite matrix $ A $ and its countable Markov shift $\Sigma_A $, one of the
authors and M. Laca have introduced a kind of {\it generalized countable Markov shift} …
authors and M. Laca have introduced a kind of {\it generalized countable Markov shift} …
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 …
different communities, such as dynamical systems, probability, operator algebras, and …
Bost–Connes–Marcolli System for the Siegel Modular Variety
I Abouamal - 2024 - search.proquest.com
Abstract Bost–Connes–Marcolli systems are an important type of quantum statistical
mechanical systems which provide connections between the ergodic theory of dynamical …
mechanical systems which provide connections between the ergodic theory of dynamical …
The Zappa-Szép product of a Fell bundle and a groupoid
Abstract We define the Zappa-Szép product of a Fell bundle by a groupoid, which turns out
to be a Fell bundle over the Zappa-Szép product of the underlying groupoids. Under certain …
to be a Fell bundle over the Zappa-Szép product of the underlying groupoids. Under certain …
Tracial weights on topological graph algebras
J Christensen - Ergodic Theory and Dynamical Systems, 2024 - cambridge.org
Tracial weights on topological graph algebras Page 1 Ergod. Th. & Dynam. Sys., page 1 of
27 © The Author(s), 2024. Published by Cambridge University Press. This is an Open …
27 © The Author(s), 2024. Published by Cambridge University Press. This is an Open …
On the restriction maps of the Fourier and Fourier-Stieltjes algebras over locally compact groupoids
J DeGaetani, M Ghandehari - arXiv preprint arXiv:2411.14624, 2024 - arxiv.org
The Fourier and Fourier-Stieltjes algebras over locally compact groupoids have been
defined in a way that parallels their construction for groups. In this article, we extend the …
defined in a way that parallels their construction for groups. In this article, we extend the …
Self-adjoint traces on the Pedersen ideal of -algebras
J Gabe, A Miller - arXiv preprint arXiv:2409.03587, 2024 - arxiv.org
In order to circumvent a fundamental issue when studying densely defined traces on
$\mathrm {C}^\ast $-algebras--which we refer to as the Trace Question--we initiate a …
$\mathrm {C}^\ast $-algebras--which we refer to as the Trace Question--we initiate a …
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 …
compact simplex bundle with the fibre at zero being homeomorphic to the space of tracial …