Zobrazeno 1 - 10
of 99 217
pro vyhledávání: '"Álgebras"'
Autor:
Asif, Sania, Wu, Zhixiang
Building upon the work of Pavel in [P. Kolesnikov, Journal of Mathematical Physics, 56, 7 (2015)], we first present the cohomology of averaging operators on the Lie conformal algebras and use it to develop the cohomology of averaging Lie conformal al
Externí odkaz:
http://arxiv.org/abs/2412.20433
Autor:
Asif, Sania
This paper studies the Nijenhuis operator on Hom-Leibniz conformal algebra, defining their representations and cohomologies. We determine the cohomologies for both Hom-Leibniz conformal algebra and Nijenhuis operators on Hom-Leibniz conformal algebra
Externí odkaz:
http://arxiv.org/abs/2412.20428
Autor:
Thiel, Hannes
We show that every Lie ideal in a unital, properly infinite C*-algebra is commutator equivalent to a unique two-sided ideal. It follows that the Lie ideal structure of such a C*-algebra is concisely encoded by its lattice of two-sided ideals. This an
Externí odkaz:
http://arxiv.org/abs/2412.16087
We introduce partial group algebras with relations in a purely algebraic framework. Given a group and a set of relations, we define an algebraic partial action and prove that the resulting partial skew group ring is isomorphic to the associated parti
Externí odkaz:
http://arxiv.org/abs/2412.15951
We study homological invariants of the Steinberg algebra $\mathcal{A}_k(\mathcal{G})$ of an ample groupoid $\mathcal{G}$ over a commutative ring $k$. For $\mathcal{G}$ principal or Hausdorff with ${\mathcal{G}}^{\rm{Iso}}\setminus{\mathcal{G}}^{(0)}$
Externí odkaz:
http://arxiv.org/abs/2412.15112
Autor:
Brothier, Arnaud, Wijesena, Dilshan
We transpose Jones' technology and the authors' C*-algebraic techniques to study representations of the Leavitt path algebra L (over an arbitrary row-finite graph) by using its quiver algebra A. We establish an equivalence of categories between certa
Externí odkaz:
http://arxiv.org/abs/2412.09163
Let $D \subseteq A$ be a quasi-Cartan pair of algebras. Then there exists a unique discrete groupoid twist $\Sigma \to G$ whose twisted Steinberg algebra is isomorphic to $A$ in a way that preserves $D$. In this paper, we show there is a lattice isom
Externí odkaz:
http://arxiv.org/abs/2411.15924
Given a row-finite higher-rank $k$-graph $\Lambda$, we define a commutative monoid $T_\Lambda$ which is a higher-rank analogue of the talented monoid of a directed graph. The talented monoid $T_\Lambda$ is canonically a $\mathbb{Z}^k$-monoid with res
Externí odkaz:
http://arxiv.org/abs/2411.07582
Autor:
Hazrat, Roozbeh, Pacheco, Elizabeth
We prove what might have been expected: The Williams Conjecture in symbolic dynamics and Graded Morita Equivalence Conjecture for Leavitt/$C^*$-graph algebras hold for ``small graphs'', i.e., connected graphs with three vertices, no parallel edges, n
Externí odkaz:
http://arxiv.org/abs/2411.01741
Autor:
Buss, Alcides, Martínez, Diego
We give a new construction of the essential $C^*$-algebra of an \'etale groupoid, along with an "amenability" notion for such groupoids that characterizes the nuclearity of this essential $C^*$-algebra. In order to do this we first introduce a maxima
Externí odkaz:
http://arxiv.org/abs/2501.01775