Hyperfinite Type II Factor
In mathematics, there are up to isomorphism exactly two hyperfinite type II factors; one infinite and one finite. Murray and von Neumann proved that up to isomorphism there is a unique von Neumann algebra that is a factor of type II1 and also hyperfinite; it is called the hyperfinite type II1 factor. There are an uncountable number of other factors of type II1. Connes proved that the infinite one is also unique.
Read more about Hyperfinite Type II Factor: Constructions, Properties, The Infinite Hyperfinite Type II Factor
Famous quotes containing the words type and/or factor:
“The ideal American type is perfectly expressed by the Protestant, individualist, anti-conformist, and this is the type that is in the process of disappearing. In reality there are few left.”
—Orson Welles (1915–1984)
“In his very rejection of art Walt Whitman is an artist. He tried to produce a certain effect by certain means and he succeeded.... He stands apart, and the chief value of his work is in its prophecy, not in its performance. He has begun a prelude to larger themes. He is the herald to a new era. As a man he is the precursor of a fresh type. He is a factor in the heroic and spiritual evolution of the human being. If Poetry has passed him by, Philosophy will take note of him.”
—Oscar Wilde (1854–1900)