THE IDEAL STRUCTURE OF PARTIAL SKEW GROUPOID RINGS WITH APPLICATIONS TO TOPOLOGICAL DYNAMICS AND ULTRAGRAPH ALGEBRAS

Speaker(s)

PAULA S. E. MOREIRA

Affiliation

Universidade Federal de Santa Catarina, Florianópolis, Brazil

Date

June 5, 2024, 5:15 p.m.

Link

https://uw-edu-pl.zoom.us/j/95105055663?pwd=TTIvVkxmMndhaHpqMFUrdm8xbzlHdz09

Information about the event

405 IMPAN & ZOOM

Seminar

North Atlantic Noncommutative Geometry Seminar

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Given a partial action α of a groupoid G on a ring R, we study the associated partial skew groupoid ring with its natural G-grading. In this talk, we will characterize primeness, simplicity, and the graded ideals of partial skew groupoid rings. Furthermore, if α is induced by a topological partial action, we will present the connections between algebraic and topological properties. As an application, we will characterize the condition (K) for an ultragraph in terms of the topological properties of the associated partial action and the algebraic properties of the corresponding ultragraph algebra.

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