AF-embeddability of decomposition rank 1 algebras

Add to your list(s) Download to your calendar using vCal

• Joachim Zacharias (University of Glasgow)
• Friday 04 July 2025, 11:00-11:20
• External.

If you have a question about this talk, please contact nobody.

TGAW01 - Crossed products and groupoid C*-algebras

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.

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

This talk is included in these lists:

• All CMS events
• External
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.