- mathematics,
there are up to
isomorphism exactly two
separably acting hyperfinite type II factors; one
infinite and one finite.
Murray and von Neumann...
- Look up
hyperfinite in Wiktionary, the free dictionary.
Hyperfinite may
refer to:
Hyperfinite set, a type of
internal set in non-standard
analysis Hyperfinite...
-
Hyperfinite sets
share the
properties of
finite sets: A
hyperfinite set has
minimal and
maximal elements, and a
hyperfinite union of a
hyperfinite collection...
- In
descriptive set
theory and
related areas of mathematics, a
hyperfinite equivalence relation on a
standard Borel space X is a
Borel equivalence relation...
- are the
hyperfinite type II1
factor and the
hyperfinite type II∞ factor,
found by
Murray & von
Neumann (1936).
These are the
unique hyperfinite factors...
- mathematics,
particularly in the
theory of C*-algebras, a
uniformly hyperfinite, or UHF,
algebra is a C*-algebra that can be
written as the closure,...
- and
Robinson show that if T is
polynomially compact, then
there is a
hyperfinite index w such that the
matrix coefficient aw+1,w is infinitesimal. Next...
- In mathematics, a hyper-finite
field is an
uncountable field similar in many ways to
finite fields. More
precisely a
field F is
called hyper-finite if...
- of
Geneva in 1979. His thesis,
titled Actions of
finite groups on the
hyperfinite II1 factor, was
written under the
supervision of André Haefliger, and...
- f(x_{i})} for all i = 0, …, N (an
alternative explanation is that
every hyperfinite set
admits a maximum).
Consider the real
point c = s t ( x i 0 ) {\displaystyle...
