The Cuntz semigroup and structure of C*-algebras

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• Andrew Toms (Purdue University)
• Tuesday 08 July 2025, 14:00-15:00
• External.

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TGA - Topological groupoids and their C*-algebras

We trace briefly the history of the Cuntz semigroup as an invariant for C-algebras, from its beginnings as a natural carrier for dimension functions to its modern applications to the structure and classification of C-algebras.  We then turn to two recent results which involve the Cuntz semigroup in a crucial role, one related to existence of -homomorphism in the non-nuclear setting and the other on the contractibility of Cuntz equivalence classes in Z-stable C-algebras.  This is joint work with Hao Wan and Chrisil Ouseph.   This seminar will take place at Queen’s University Belfast, in MAPTC room 0G.017.

This talk is part of the Isaac Newton Institute Seminar Series series.

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