This article is cited in 5 papers

Regular Semigroups of Endomorphisms of von Neumann Factors

G. G. Amosov, A. V. Bulinski, M. E. Shirokov

Moscow Institute of Physics and Technology

Abstract: We study a class of $E_0$-semigroups of endomorphisms of a von Neumann factor $\mathscr M$ possessing the following property: an $e_0$-semigroup of endomorphisms of $\mathscr B(\mathscr H)$ , where $\mathscr H$ is the standard representation space for $\mathscr M$ , and a product system of Hilbert spaces can be associated with each of these $E_0$-semigroups.

UDC: 517

Received: 25.01.2001

DOI: 10.4213/mzm777

 English version: Mathematical Notes, 2001, 70:5, 583–598

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