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ON AMPLIFIED-GRAPH C*-ALGEBRAS AS CORES OF CUNTZ-KRIEGER ALGEBRAS
- Speaker(s)
- FRANCESCO D'ANDREA
- Affiliation
- Università di Napoli Federico II, Italy
- Language of the talk
- English
- Date
- Oct. 22, 2025, 5:15 p.m.
- Information about the event
- IMPAN - Room 405
- Title in Polish
- ON AMPLIFIED-GRAPH C*-ALGEBRAS AS CORES OF CUNTZ-KRIEGER ALGEBRAS
- Seminar
- North Atlantic Noncommutative Geometry Seminar
Given a finite directed acyclic graph R, we construct from it two graphs: the graph E obtained by adding a loop at every vertex of R and the graph F obtained by replacing every edge of R by countably infinitely many edges. Then I will show that the graph C*-algebra C*(F) is isomorphic to the AF core of the graph C*-algebra C*(E). Examples include the C*-algebras of quantum flag manifolds and weighted quantum projective spaces. To end with, I shall discuss in detail the C*-algebra of the quantum Grassmannian Gr(2,4) given as an AF-core C*-algebra, and thus unravel its noncommutative CW-structure. (Joint work with S. E. Zegers).
