|
Algebra and Discrete Mathematics, 2004, Issue 3, Pages 126–134
(Mi adm353)
|
|
|
|
RESEARCH ARTICLE
C∗-algebra generated by four projections with sum equal to 2
Yuri Savchuk Department of Computer Science, Kyiv Taras Shevchenko University, 64 Volodymyrska st., 01033 Kyiv Ukraine
Abstract:
We describe the C∗-algebra generated by four orthogonal projections p1,p2,p3,p4, satisfying the linear relation p1+p2+p3+p4=2I. The simplest realization by 2×2-matrix-functions over the sphere S2 is given.
Keywords:
matrix-functions, projections, finitely generated C∗-algebras.
Citation:
Yuri Savchuk, “C∗-algebra generated by four projections with sum equal to 2”, Algebra Discrete Math., 2004, no. 3, 126–134
Linking options:
https://www.mathnet.ru/eng/adm353 https://www.mathnet.ru/eng/adm/y2004/i3/p126
|
Statistics & downloads: |
Abstract page: | 201 | Full-text PDF : | 68 | References: | 5 | First page: | 1 |
|