Groups associated to II 1-factors

Nathanial P. Brown, Valerio Capraro

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We extend recent work of the first named author, constructing a natural Hom semigroup associated to any pair of II 1-factors. This semigroup always satisfies cancelation, hence embeds into its Grothendieck group. When the target is an ultraproduct of a McDuff factor (e.g., R ω), this Grothendieck group turns out to carry a natural vector space structure; in fact, it is a Banach space with natural actions of outer automorphism groups.

Original languageEnglish (US)
Pages (from-to)493-507
Number of pages15
JournalJournal of Functional Analysis
Issue number2
StatePublished - Jan 15 2013

All Science Journal Classification (ASJC) codes

  • Analysis


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