KMS States on Nica-Toeplitz -algebras
Z Afsar, NS Larsen, S Neshveyev - Communications in Mathematical …, 2020 - Springer
Given a quasi-lattice ordered group (G, P) and a compactly aligned product system X of
essential C^* C∗-correspondences over the monoid P, we show that there is a bijection …
essential C^* C∗-correspondences over the monoid P, we show that there is a bijection …
Equivariant Nica-Pimsner quotients associated with strong compactly aligned product systems
JA Dessi, ETA Kakariadis - arXiv preprint arXiv:2310.04175, 2023 - arxiv.org
We parametrise the gauge-invariant ideals of the Toeplitz-Nica-Pimsner algebra of a strong
compactly aligned product system over $\mathbb {Z} _+^ d $ by using $2^ d $-tuples of …
compactly aligned product system over $\mathbb {Z} _+^ d $ by using $2^ d $-tuples of …
KMS states of Information Flow in Directed Brain Synaptic Networks
EM Moutuou, H Benali - arXiv preprint arXiv:2410.18222, 2024 - arxiv.org
The brain's synaptic network, characterized by parallel connections and feedback loops,
drives information flow between neurons through a large system with infinitely many …
drives information flow between neurons through a large system with infinitely many …
[HTML][HTML] Equilibrium states and entropy theory for Nica-Pimsner algebras
ETA Kakariadis - Advances in Mathematics, 2020 - Elsevier
We study the equilibrium simplex of Nica-Pimsner algebras arising from product systems of
finite rank on the free abelian semigroup. First we show that every equilibrium state has a …
finite rank on the free abelian semigroup. First we show that every equilibrium state has a …
Equilibrium states on higher-rank Toeplitz non-commutative solenoids
We consider a family of higher-dimensional non-commutative tori, which are twisted
analogues of the algebras of continuous functions on ordinary tori and their Toeplitz …
analogues of the algebras of continuous functions on ordinary tori and their Toeplitz …
Equilibrium states on the Toeplitz algebras of small higher-rank graphs
I Raeburn - arXiv preprint arXiv:1905.01001, 2019 - arxiv.org
arXiv:1905.01001v1 [math.OA] 3 May 2019 Page 1 arXiv:1905.01001v1 [math.OA] 3 May
2019 EQUILIBRIUM STATES ON THE TOEPLITZ ALGEBRAS OF SMALL HIGHER-RANK …
2019 EQUILIBRIUM STATES ON THE TOEPLITZ ALGEBRAS OF SMALL HIGHER-RANK …
[HTML][HTML] Applications of entropy of product systems: higher-rank graphs
ETA Kakariadis - Linear Algebra and its Applications, 2020 - Elsevier
We consider C*-algebras of finite higher-rank graphs along with their rotational action. We
show how the entropy theory of product systems with finite frames applies to identify the …
show how the entropy theory of product systems with finite frames applies to identify the …