
Đề tài " On a class of type II1 factors with Betti numbers invariants "
39
lượt xem 7
download
lượt xem 7
download

We prove that a type II1 factor M can have at most one Cartan subalgebra A satisfying a combination of rigidity and compact approximation properties. We use this result to show that within the class HT of factors M having such Cartan subalgebras A ⊂ M , the Betti numbers of the standard equivalence relation associated with A ⊂ M ([G2]), are in fact isomorphism invariants for HT the factors M , βn (M ), n ≥ 0. The class HT is closed under amplifications HT HT and tensor products,
Chủ đề:
Bình luận(0) Đăng nhập để gửi bình luận!

CÓ THỂ BẠN MUỐN DOWNLOAD