Automorphism of von Neumann algebras and approximatively finite type III1 factors with an almost-periodic weight

1980 ◽  
Vol 14 (2) ◽  
pp. 123-125
Author(s):  
V. Ya. Golodets
Keyword(s):  
Finite Type ◽  
Von Neumann Algebras ◽  
Almost Periodic ◽  
Von Neumann ◽  
Type Iii1

scholarly journals The Birman–Schwinger principle in von Neumann algebras of finite type

2007 ◽  
Vol 247 (2) ◽  
pp. 492-508 ◽  
Author(s):  
Vadim Kostrykin ◽  
Konstantin A. Makarov ◽  
Anna Skripka
Keyword(s):  
Finite Type ◽  
Von Neumann Algebras ◽  
Von Neumann

Normal AW*-algebras

1980 ◽  
Vol 85 (1-2) ◽  
pp. 137-141 ◽  
Author(s):  
J. D. Maitland Wright
Keyword(s):  
Finite Type ◽  
Partially Ordered Set ◽  
Von Neumann Algebras ◽  
Ordered Set ◽  
Von Neumann ◽  
Partially Ordered

SynopsisIn recent years it has become clear that AW*-algebras can be much more pathological and unlike von Neumann algebras than was originally expected. When AW*-algebras are monotone complete, then the work of Kadison and Pederson shows that a particularly smooth and elegant theory can be developed. A technically weaker requirement on an AW*-algebra is that it be “normal”. This condition, which says that the lattice of projections is embedded in a well-behaved way in the partially ordered set of all self-adjoint elements, can sometimes be used as a substitute for monotone completeness. In this note we prove that when an AW*-algebra is of finite type (that is x*x = 1 implies xx* = 1) then it is normal.

Lectures on von Neumann Algebras

2019 ◽  
Author(s):  
Serban-Valentin Stratila ◽  
Laszlo Zsido
Keyword(s):  
Von Neumann Algebras ◽  
Von Neumann
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