ON AMPLIFIED-GRAPH C*-ALGEBRAS AS CORES OF CUNTZ-KRIEGER ALGEBRAS

Prelegent(ci)

FRANCESCO D'ANDREA

Afiliacja

Università di Napoli Federico II, Italy

Język referatu

angielski

Termin

22 października 2025 17:15

Informacje na temat wydarzenia

IMPAN - Room 405

Tytuł w języku polskim

ON AMPLIFIED-GRAPH C*-ALGEBRAS AS CORES OF CUNTZ-KRIEGER ALGEBRAS

Seminarium

North Atlantic Noncommutative Geometry Seminar

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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).

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