Sentence examples for factors of type from inspiring English sources

We give in this paper a new construction of factors of type III1.

It is proved that there exist factors of type II with different countable fundamental groups and hence, different actions.

It is also proved that there exist nonisomorphic full factors of type III1 with any fixed invariant Sd.

We obtain a new example of an uncountable family of pairwise non-isomorphic factors of type III1 with the same τ invariant.

We then classify the resulting E0-semigroups up to conjugacy, by identifying their tail flows as periodic W∗-dynamical systems acting on factors of type I∞.

We classify a certain class of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III.

We show that any compact group can be realized as the outer automorphism group of a factor of type II1.

Moreover we give an example that an analytic subalgebra is not a continuous analytic crossed product using the continuous decomposition of a factor of type IIIλ(0⩽λ<1).

A Cartan factor of type 1 is a JB∗-triple which coincides with the Banach space (B(H, K)) of bounded linear operators between two complex Hilbert spaces, H and K, where the triple product is defined by (2.2).

Studies suggest that PCBs may be a risk factor of type 2 diabetes (32).

Our study identifies traffic-related air pollution as a novel and potentially modifiable risk factor of type 2 diabetes.