9 citations · 53 across the 17 of their papers we have counts for
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math.GR2016★ 6 cited
Sofic boundaries of groups and coarse geometry of sofic approximations
Vadim Alekseev, Martin Finn-Sell
Sofic groups generalise both residually finite and amenable groups, and the concept is central to many important results and conjectures in measured group theory. We introduce a to…
math.OA2016★ 9 cited
Non-amenable principal groupoids with weak containment
Vadim Alekseev, Martin Finn-Sell
We construct examples of principal groupoids that have weak containment but are not amenable, thus answering questions by Claire Anantharaman-Delaroche and Rufus Willett.
math.OA2016★ 5 cited
Quadratic Modules, C*-Algebras, and Free Convexity
Vadim Alekseev, Tim Netzer, Andreas Thom
Given a quadratic module, we construct its universal C*-algebra, and then use methods and notions from the theory of C*-algebras to study the quadratic module. We define residually…