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Joachim Zacharias (University of Glasgow)
Friday 04 July 2025, 11:00-11:20
AF-embeddability of decomposition rank 1 algebras
- đ¤ Speaker: Joachim Zacharias (University of Glasgow)
- đ Date & Time: Friday 04 July 2025, 11:00 - 11:20
- đ Venue: External
Abstract
AF-embeddability, ie the question whether a given C-algebra can be realised as a subalgebra of an AF-algebra has been studied for a long time with prominent early results by Pimsner and Voicuescu who constructed such embeddings for irrational rotation algebras in 1980. Since then many AF-embeddings have been constructed for concrete examples but also many non-constructive AF-embeddability results have been obtained for classes of algebras typically assuming the UCT . In this talk we consider a separable unital C-algebra A of decomposition rank at most 1 and construct from a suitable system of 1-decomposable cpc-approximations an AF-algebra E together with an embedding of A into E and a conditional expectation of E onto A without assuming the UCT . We also indicate some applications.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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