Open AccessReversible AJW-algebras
Author(s) -
Shavkat Ayupov,
Farhodjon Arzikulov
Publication year - 2016
Publication title -
vladikavkazskij matematičeskij žurnal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.126
H-Index - 2
eISSN - 1814-0807
pISSN - 1683-3414
DOI - 10.23671/vnc.2016.3.5872
Subject(s) - annihilator , complexification , subalgebra , mathematics , ideal (ethics) , algebra over a field , pure mathematics , zero (linguistics) , linguistics , philosophy , epistemology
The main result states that every special AJW-algebra can be decomposed into the direct sum of totally irreversible and reversible subalgebras. In turn, every reversible special AJW-algebra decomposes into a direct sum of two subalgebras, one of which has purely real enveloping real von Neumann algebra, and the second one contains an ideal, whose complexification is a C*-algebra and the annihilator of this complexification in the enveloping C*-algebra of this subalgebra is equal to zero.