POSETS FROM LEAVITT PATH ALGEBRAS AND GRAPH INVERSE SEMIGROUPS

Speaker(s)

ZACHARY MESYAN

Affiliation

University of Colorado, Colorado Springs, USA

Language of the talk

English

Date

Oct. 29, 2025, 5:15 p.m.

Information about the event

IMPAN - Room 405

Title in Polish

POSETS FROM LEAVITT PATH ALGEBRAS AND GRAPH INVERSE SEMIGROUPS

Seminar

North Atlantic Noncommutative Geometry Seminar

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We discuss parallel developments in the study of three types of well-known algebraic objects built from directed graphs: Leavitt path algebras, graph inverse semigroups, and graph C*-algebras. Similar results have been proved about those objects, but usually in very different ways. In the second part of the talk, we will describe how to realize a wide class of partially ordered sets as prime spectra of Leavitt path algebras, and characterize, in terms of a condition first introduced by Kaplansky, the totally ordered sets that can be realized as prime spectra of Leavitt path algebras.

 

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