Noncommutative Lp modules

Marius Junge, David Sherman

Research output: Contribution to journalArticlepeer-review

Abstract

We construct classes of von Neumann algebra modules by considering "column sums" of noncommutative V spaces. Our abstract characterization is based on an Lp/2-valued inner product, thereby generalizing Hilbert C*-module's and representations on Hilbert space. While the (single) representation theory is similar to the L2 case, the concept of Lp bimodule (p ≠ 2) turns out to be nearly trivial.

Original languageEnglish (US)
Pages (from-to)3-34
Number of pages32
JournalJournal of Operator Theory
Volume53
Issue number1
StatePublished - Dec 1 2005

Keywords

  • Hilbert c*-module
  • Modular theory
  • Noncommutative L space

ASJC Scopus subject areas

  • Algebra and Number Theory

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