POSETS FROM LEAVITT PATH ALGEBRAS AND GRAPH INVERSE SEMIGROUPS

Prelegent(ci)

ZACHARY MESYAN

Afiliacja

University of Colorado, Colorado Springs, USA

Język referatu

angielski

Termin

29 października 2025 17:15

Informacje na temat wydarzenia

IMPAN - Room 405

Tytuł w języku polskim

POSETS FROM LEAVITT PATH ALGEBRAS AND GRAPH INVERSE SEMIGROUPS

Seminarium

North Atlantic Noncommutative Geometry Seminar

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.