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Strong singularity for subalgebras of finite factors

Lookup NU author(s): Professor Guyan Robertson

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Abstract

In this paper we develop the theory of strongly singular subalgebras of von Neumann algebras, begun in earlier work. We mainly examine the situation of type $\tto$ factors arising from countable discrete groups. We give simple criteria for strong singularity, and use them to construct strongly singular subalgebras. We particularly focus on groups which act on geometric objects, where the underlying geometry leads to strong singularity.

Publication metadata

Author(s): Robertson G; Sinclair A; Smith R

Publication type: Article

Publication status: Published

Journal: International Journal of Mathematics

Year: 2003

Volume: 14

Issue: 3

Pages: 235-258

ISSN (print): 0129-167X

ISSN (electronic): 1793-6519

Publisher: Mathematics World Scientific Publishing Co. Pte. Ltd.

URL: http://dx.doi.org/10.1142/S0129167X03001739

DOI: 10.1142/S0129167X03001739

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