QUANTUM CUNTZ-KRIEGER ALGEBRAS

Speaker(s)

CHRISTIAN VOIGT

Affiliation

University of Glasgow

Date

Nov. 25, 2020, 5:15 p.m.

Information about the event

Seminar 2020-11-25 17:15:00

Seminar

North Atlantic Noncommutative Geometry Seminar

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The notion of a quantum graph, a concept going back to the work of Erdos-Katavolos-Shulman and Weaver, provides a noncommutative generalisation of finite graphs. Quantum graphs play an intriguing role in the analysis of quantum symmetries of graphs, and naturally appear also in quantum information theory. In this talk, I will discuss the construction of certain C*-algebras associated with directed quantum graphs, in analogy to the definition of Cuntz-Krieger algebras, and illustrate this with some examples. (Joint work with M. Brannan, K. Eifler, M. Weber.)

https://www.youtube.com/watch?v=6kX3rV8w2IU

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