Free Lamplighter Groups and a Question of Atiyah

Research output: Contribution to journalArticlepeer-review

Abstract

We compute the von Neumann dimensions of the kernels of adjacency operators on free lamplighter groups and show that they are irrational, thus providing an elementary constructive answer to a question of Atiyah.
Original languageEnglish
Pages (from-to)835-849
JournalAmerican Journal of Mathematics
Volume135
Issue number3
DOIs
Publication statusPublished - 2013

Fields of Expertise

  • Information, Communication & Computing

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