例句與造句

1. By definition, uniformly hyperfinite algebras are AF and unital.
2. Today we have a complete classification of hyperfinite factors.
3. Hyperfinite sets can be used to approximate other sets.
4. The subspace is internal of hyperfinite dimension.
5. Every hyperfinite field is pseudo-finite and every pseudo-finite field is quasifinite.
6. It's difficult to find hyperfinite in a sentence. 用hyperfinite造句挺難的
7. Bernstein and Robinson show that if is polynomially compact, then there is a hyperfinite index such that the matrix coefficient is infinitesimal.
8. If a hyperfinite set approximates an interval, it is called a " near interval " with respect to that interval.
9. An example where this happens is the infinite symmetric group, where the von Neumann group algebra is the hyperfinite type II 1 factor.
10. In general, subsets of hyperfinite sets are not hyperfinite, often because they do not contain the extreme elements of the parent set.
11. In general, subsets of hyperfinite sets are not hyperfinite, often because they do not contain the extreme elements of the parent set.
12. The counterpart of simple AF C *-algebras in the von Neumann algebra world are the hyperfinite factors, which were classified by Haagerup.
13. In particular found an uncountable family of non-isomorphic hyperfinite type III ? factors for 0 2 factors, each with the state given by:
14. In a related context, an "'Powers exhibited a family of non-isomorphic type III hyperfinite factors with cardinality of the continuum.
15. "NG " is isomorphic to the hyperfinite type II 1 factor if and only if " G " is countable, amenable, and has the infinite conjugacy class property.
16. Note that A . Connes also proved that the von Neumann group algebra of any connected locally compact group is hyperfinite, so the last condition no longer applies in the case of connected groups.
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