Zobrazeno 1 - 10
of 206
pro vyhledávání: '"IONESCU, MARIUS"'
Autor:
Deaconu, Valentin, Ionescu, Marius
We introduce a cochain complex for ample groupoids $\mathcal G$ using a flat resolution defining their homology with coefficients in $\mathbb Z$. We prove that the cohomology of this cochain complex with values in a $\mathcal G$-module $M$ coincides
Externí odkaz:
http://arxiv.org/abs/2501.00166
Autor:
Deaconu, Valentin, Ionescu, Marius
We study the $C^*$-algebra $C^*(\kappa)$ generated by the Koopman representation $\kappa=\kappa^\mu$ of a locally compact groupoid $G$ acting on a measure space $(X,\mu)$, where $\mu$ is quasi-invariant for the action. We interpret $\kappa$ as an ind
Externí odkaz:
http://arxiv.org/abs/2212.13633
We analyse extensions $\Sigma$ of groupoids $G$ by bundles $A$ of abelian groups. We describe a pushout construction for such extensions, and use it to describe the extension group of a given groupoid $G$ by a given bundle $A$. There is a natural act
Externí odkaz:
http://arxiv.org/abs/2107.05776
Autor:
Ionescu, Marius-Anton1 (AUTHOR) dr.toni.ionescu@gmail.com, Tatu, Alin Laurentiu2,3,4 (AUTHOR) dralin_tatu@yahoo.com, Busila, Camelia2,5 (AUTHOR) dralin_tatu@yahoo.com, Axente, Elena Roxana6 (AUTHOR) elena.axente@ugal.ro, Badalato, Nelly7 (AUTHOR) nelly.badalato@genoscreen.fr, Feuilloley, Marc G. J.8 (AUTHOR) marc.feuilloley@univ-rouen.fr, Asquier, Estelle9 (AUTHOR) estelle.asquier@uriage.com, Martínez, José Dario10 (AUTHOR) jose.martinezvil@uanl.edu.mx, Lefeuvre, Luc9 (AUTHOR) luc.lefeuvre@uriage.com
Publikováno v:
Life (2075-1729). Jun2024, Vol. 14 Issue 6, p688. 9p.
Given a normal subgroup bundle $\mathcal A$ of the isotropy bundle of a groupoid $\Sigma$, we obtain a twisted action of the quotient groupoid $\Sigma/\mathcal A$ on the bundle of group $C^*$-algebras determined by $\mathcal A$ whose twisted crossed
Externí odkaz:
http://arxiv.org/abs/2001.01312
We prove a strong maximum principle for Schr\"odinger operators defined on a class of fractal sets and their blowups without boundary. Our primary interest is in weaker regularity conditions than have previously appeared in the literature; in particu
Externí odkaz:
http://arxiv.org/abs/1902.05584
Autor:
Ionescu, Marius, Savage, Thomas L.
We prove the Hot Spot conjecture on the Vicsek set. Specifically, we show that every eigenfunction of the second smallest eigenvalue of the Neumann Laplacian on the Vicsek set attains its maximum and minimum on the boundary.
Comment: We made cha
Comment: We made cha
Externí odkaz:
http://arxiv.org/abs/1806.05275
Given a locally compact abelian group $G$, we give an explicit formula for the Dixmier--Douady invariant of the $C^*$-algebra of the groupoid extension associated to a \v{C}ech $2$-cocycle in the sheaf of germs of continuous $G$-valued functions. We
Externí odkaz:
http://arxiv.org/abs/1801.00832
Publikováno v:
Revista Română de drept penal al afacerilor / Romanian Journal of Business Law Review. (1):81-88
Externí odkaz:
https://www.ceeol.com/search/article-detail?id=1049819
Autor:
Ionescu, Marius, Kumjian, Alex
Given a short exact sequence of locally compact abelian groups $0 \to A \to B \to C \to 0$ and a continuous $C$-valued $1$-cocycle $\phi$ on a locally compact Hausdorff groupoid $\Gamma$ we construct a twist of $\Gamma$ by $A$ that is trivial if and
Externí odkaz:
http://arxiv.org/abs/1612.07257