Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589812 | Journal of Functional Analysis | 2015 | 83 Pages |
Abstract
Let x,yx,y be two normal elements in a unital simple C⁎C⁎-algebra A . We introduce a function Dc(x,y)Dc(x,y) and show that in a unital simple AF-algebra there is a constant 1>C>01>C>0 such thatC⋅Dc(x,y)≤dist(U(x),U(y))≤Dc(x,y),C⋅Dc(x,y)≤dist(U(x),U(y))≤Dc(x,y), where U(x)U(x) and U(y)U(y) are the closures of the unitary orbits of x and of y , respectively. We also generalize this to unital simple C⁎C⁎-algebras with real rank zero, stable rank one and weakly unperforated K0K0-group. More complicated estimates are given in the presence of non-trivial K1K1-information.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shanwen Hu, Huaxin Lin,