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The Leavitt Path Algebras of Quantum Quivers
- Speaker(s)
- TOMASZ MASZCZYK
- Affiliation
- Uniwersytet Warszawski, Poland
- Language of the talk
- English
- Date
- Jan. 14, 2026, 5:15 p.m.
- Information about the event
- ZOOM
- Title in Polish
- The Leavitt Path Algebras of Quantum Quivers
- Seminar
- North Atlantic Noncommutative Geometry Seminar
We introduce a topos of quantum sets and study the properties of the embedding of the classical topos of sets in it. In this way, we derive the Birkhoff-von Neumann quantum logic and many other structures from quantum theory. In particular, we define quantum quivers in the sense of Day and Street and also Chikhladze. Then we provide a categorical derivation of the Leavitt path algebra of a regular quantum quiver and relate it to the category of stable representations of that quiver. This is based on a categorification of the Cuntz-Pimsner algebra in the context of adjoint functors, which replaces the customary use of Hilbert modules in the context of C*-algebras. Finally, we discuss the functoriality of our construction under appropriate correspondences between quantum quivers.
