Noncommutative Lp modules

Marius Junge; David Sherman

Noncommutative L^p modules

Mathematics

Research output: Contribution to journal › Article › peer-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 L^p/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 L^p bimodule (p ≠ 2) turns out to be nearly trivial.

Original language	English (US)
Pages (from-to)	3-34
Number of pages	32
Journal	Journal of Operator Theory
Volume	53
Issue number	1
State	Published - Dec 2005

Keywords

Hilbert c*-module
Modular theory
Noncommutative L space

ASJC Scopus subject areas

Algebra and Number Theory

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Cite this

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