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pro vyhledávání: '"Steinberg, Benjamin A"'
Transformers, originally prominent in NLP and computer vision, are now being adapted for ECG signal analysis. This paper introduces a novel hierarchical transformer architecture that segments the model into multiple stages by assessing the spatial si
Externí odkaz:
http://arxiv.org/abs/2411.00755
Autor:
Miller, Alistair, Steinberg, Benjamin
Nekrashevych associated to each self-similar group action an ample groupoid and a C*-algebra. We provide exact sequences to compute the homology of the groupoid and the K-theory of the C*-algebra in terms of the homology of the group and K-theory of
Externí odkaz:
http://arxiv.org/abs/2409.02359
Autor:
Steinberg, Benjamin
Given a presentation of a monoid $M$, combined work of Pride and of Guba and Sapir provides an exact sequence connecting the relation bimodule of the presentation (in the sense of Ivanov) with the first homology of the Squier complex of the presentat
Externí odkaz:
http://arxiv.org/abs/2407.11879
Autor:
Steinberg, Benjamin
I explicitly compute the Eilenberg-Mac Lane homology of a completely simple semigroup using topological means. I also complete Gray and Pride's investigation into the homological finiteness properties of completely simple semigroups, as well as study
Externí odkaz:
http://arxiv.org/abs/2405.06594
We prove the Effros-Hahn conjecture for groupoid algebras with coefficients in a sheaf, obtaining as a consequence a description of the ideals in skew inverse semigroup rings. We also use the description of the ideals to characterize when the groupoi
Externí odkaz:
http://arxiv.org/abs/2404.15139
Autor:
Steinberg, Benjamin
The goal of this paper is to use topological methods to compute $\mathrm{Ext}$ between irreducible representations of von Neumann regular monoids in which Green's $\mathscr L$- and $\mathscr J$-relations coincide (e.g., left regular bands). Our resul
Externí odkaz:
http://arxiv.org/abs/2404.03475
We study the question of when the algebra of an ample groupoid over a field is von Neumann regular and, more generally, when the algebra of a graded ample groupoid is graded von Neumann regular. For fields of characteristic $0$ we are able to provide
Externí odkaz:
http://arxiv.org/abs/2401.03308
Autor:
Steinberg, Benjamin
Carlsen (Adv.~Math, 2018) showed that any $\ast$-homomorphism between Leavitt path algebras over $\mathbb Z$ is automatically diagonal preserving and hence induces an isomorphism of boundary path groupoids. His result works over conjugation-closed su
Externí odkaz:
http://arxiv.org/abs/2311.05694
Autor:
Steinberg, Benjamin
This paper aims to use topological methods to compute $\mathrm{Ext}$ between an irreducible representation of a finite monoid inflated from its group completion and one inflated from its group of units, or more generally coinduced from a maximal subg
Externí odkaz:
http://arxiv.org/abs/2306.16379
Autor:
Steinberg, Benjamin
This paper develops the fundamentals of modular representation theory for finite monoids, introducing the decomposition matrix and exploring its connection to Brauer characters. We define modular characteristic and explain how the representation theo
Externí odkaz:
http://arxiv.org/abs/2305.08251