A tracial characterization of Furstenberg's conjecture
C Bruce, E Scarparo - Canadian Mathematical Bulletin, 2024 - cambridge.org
A tracial characterization of Furstenberg’s ×p,×q conjecture Page 1 Canad. Math. Bull. Vol. 67
(1), 2024, pp. 244–256 http://dx.doi.org/10.4153/S0008439523000693 © The Author(s), 2023 …
(1), 2024, pp. 244–256 http://dx.doi.org/10.4153/S0008439523000693 © The Author(s), 2023 …
Semigroups of self-similar actions and higher rank Baumslag-Solitar semigroups
R Valente, D Yang - arXiv preprint arXiv:2405.07062, 2024 - arxiv.org
In this paper, we initiate the study of higher rank Baumslag-Solitar semigroups and their
related C*-algebras. We focus on two extreme, but interesting, classes-one is related to …
related C*-algebras. We focus on two extreme, but interesting, classes-one is related to …
A torsion-free algebraically -unique group
E Scarparo - 2020 - projecteuclid.org
A torsion-free algebraically C*-unique group Page 1 ROCKY MOUNTAIN JOURNAL OF
MATHEMATICS Volume 50 (2020), No. 5, 1813–1815 DOI: 10.1216 / rmj.2020.50.1813 c Rocky …
MATHEMATICS Volume 50 (2020), No. 5, 1813–1815 DOI: 10.1216 / rmj.2020.50.1813 c Rocky …
Formulations of Furstenberg's conjecture in complex analysis and operator algebras
P Burton, J Panangaden - arXiv preprint arXiv:2410.22701, 2024 - arxiv.org
Furstenberg's $\times 2\times 3$ conjecture has remained a central open problem in ergodic
theory for over $50 $ years, and it serves as the basic test case for a broad class of rigidity …
theory for over $50 $ years, and it serves as the basic test case for a broad class of rigidity …
A Wiener-type theorem for arcs in the unit cirle
H Huang - arXiv preprint arXiv:2407.19424, 2024 - arxiv.org
We prove a Wiener-type theorem for arcs in the unit circle which concerns express the
measure of an arc in the unit circle via the measure's Fourier coefficients. Then we use it to …
measure of an arc in the unit circle via the measure's Fourier coefficients. Then we use it to …
A tracial characterization of Furstenberg's conjecture
C Bruce, E Scarparo - arXiv preprint arXiv:2304.04456, 2023 - arxiv.org
We investigate almost minimal actions of abelian groups and their crossed products. As an
application, given multiplicatively independent integers $ p $ and $ q $, we show that …
application, given multiplicatively independent integers $ p $ and $ q $, we show that …
On the KMS states for the Bernoulli shift
S Sundar - arXiv preprint arXiv:2303.12476, 2023 - arxiv.org
Let $\Omega:=\{0, 1\}^{\mathbb {Z}} $ be the Cantor space, and let $\tau:\Omega\to\Omega $
be the Bernoulli shift. For the flow on the crossed product $ C (\Omega)\rtimes_\tau\mathbb …
be the Bernoulli shift. For the flow on the crossed product $ C (\Omega)\rtimes_\tau\mathbb …
NONCOMMUTATIVE ERGODIC THEOREMS
M WEBER - math.uni-sb.de
The ergodic theorems presented in the internetseminar are certain statements about
convergence in measurable or topological spaces. Since about 80 years, also …
convergence in measurable or topological spaces. Since about 80 years, also …
[PDF][PDF] On ergodic invariant states and irreducible representations
T Ulsnæs - 2018 - duo.uio.no
On ergodic invariant states and irreducible representations Page 1 On ergodic invariant states
and irreducible representations Torstein Ulsnæs Master’s Thesis, Spring 2018 Page 2 This …
and irreducible representations Torstein Ulsnæs Master’s Thesis, Spring 2018 Page 2 This …