|
|
| |
| Ideals in the Roe Algebras of Discrete Metric Spaces with Coefficients in B(H) |
| |
Citation： |
Yingjie HU,Qin WANG.Ideals in the Roe Algebras of Discrete Metric Spaces with Coefficients in B(H)[J].Chinese Annals of Mathematics B,2009,30(2):139~144 |
| Page view： 1753
Net amount： 1243 |
Authors： |
Yingjie HU; Qin WANG; |
Foundation： |
by the Foundation for the Author of National Excellent Doctoral Dissertation of
China (No. 200416), the Program for New Century Excellent Talents in University of China (No. 06-
0420), the Scientific Research Starting Foundation for the Returned Overseas Chinese Scholars (No.
2008-890), the Dawn Light Project of Shanghai Municipal Education Commission (No. 07SG38) and
the Shanghai Pujiang Program (No. 08PJ14006). |
|
|
| Abstract： |
The notion of an ideal family of weighted subspaces of a discrete metric space
X with bounded geometry is introduced. It is shown that, if X has Yu’s property A, the
ideal structure of the Roe algebra of X with coefficients in B(H) is completely characterized
by the ideal families of weighted subspaces of X, where B(H) denotes the C -algebra of
bounded linear operators on a separable Hilbert space H. |
Keywords： |
Roe algebra, Ideal, Metric space, Coarse geometry, Band-dominated
operator |
Classification： |
47L80, 46L87 |
|
|
Download PDF Full-Text
|
|
|
|
