Stably finite and purely infinite crossed products

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

• Ilija Tolich (Victoria University of Wellington)
• Friday 04 July 2025, 14:30-15:00
• External.

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

TGAW01 - Crossed products and groupoid C*-algebras

The C-algebra associated to a topological groupoid can be viewed as a crossed product: by the partial action of the inverse semigroup of bisections on the continuous functions on the unit space. Analogously we can consider inverse semigroup crossed products of arbitrary C-algebras. For certain classes of Hausdorff groupoids there is a known dichotomy: the groupoid C*-algebra is either stably finite or purely infinite. Allowing for inverse semigroup crossed products introduces non-trivial obstacles to extending these results. We will outline the crossed product construction and present work towards the purely infinite-stably finite dichotomy. Joint work with Becky Armstrong, Lisa Clark, Astrid an Huef and Diego Martı́nez.

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.