H4(BK,Z) and Operator Algebras

Research output: Contribution to journalArticle

Abstract

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
Volume14
Issue number1
StatePublished - 2004

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Cartan Subalgebra
Group Extension
Cohomology of Groups
Semisimple Lie Group
Operator Algebras
Compact Lie Group
Von Neumann Algebra
Automorphisms
Class
Interpretation

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

H4(BK,Z) and Operator Algebras. / Pickrell, Douglas M.

In: Journal of Lie Theory, Vol. 14, No. 1, 2004, p. 199-213.

Research output: Contribution to journalArticle

Pickrell, Douglas M. / H4(BK,Z) and Operator Algebras. In: Journal of Lie Theory. 2004 ; Vol. 14, No. 1. pp. 199-213.
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