CORRESPONDENCES BETWEEN GRAPH C*-ALGEBRAS

Speaker(s)

RALF MEYER

Affiliation

Georg-August Universität Göttingen, Germany

Language of the talk

English

Date

Nov. 6, 2024, 5:15 p.m.

Link

https://uw-edu-pl.zoom.us/j/95105055663?pwd=TTIvVkxmMndhaHpqMFUrdm8xbzlHdz09

Information about the event

ZOOM

Title in Polish

CORRESPONDENCES BETWEEN GRAPH C*-ALGEBRAS

Seminar

North Atlantic Noncommutative Geometry Seminar

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We describe proper correspondences from graph C*-algebras to arbitrary C*-algebras by K-theoretic data. If the target C*-algebra is a graph C*-algebra as well, we may lift an isomorphism and its inverse on a certain invariant to correspondences back and forth that are inverse to each other up to ideal-preserving homotopy. This implies a classification theorem for purely infinite graph C*-algebras up to stable isomorphism.

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