RELATIVE GRAPHS AND PULLBACKS OF RELATIVE TOEPLITZ GRAPH ALGEBRAS

Speaker(s)

JACK SPIELBERG

Affiliation

Arizona State University

Date

Dec. 7, 2022, 5:15 p.m.

Information about the event

405 IMPAN & ZOOM

Seminar

North Atlantic Noncommutative Geometry Seminar

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We generalize a result from a recent paper of Hajac, Reznikoff and Tobolski. In that paper they give conditions they call "admissibility" on a pushout diagram in the category of directed graphs implying that the C*-algebras of the graphs form a pullback diagram. We consider a larger category of "relative graphs" that correspond to relative Toeplitz graph algebras. In this setting we give necessary and sufficient conditions on the pushout to get a pullback of C*-algebras. This is joint work with Samantha Brooker.

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