H4(BK,Z) and Operator Algebras

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There is a well-known interpretation of group cohomology in terms of (generalized) group extensions. For a connected semisimple compact Lie group K, we prove that the extensions corresponding to classes in H 4(BK,ℤ) can be interpreted in terms of automorphisms of a pair consisting of a type II1 von Neumann algebra and a Cartan subalgebra.

Original languageEnglish (US)
Pages (from-to)199-213
Number of pages15
JournalJournal of Lie Theory
Issue number1
StatePublished - 2004

ASJC Scopus subject areas

  • Algebra and Number Theory


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