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C*-algebra generated by four projections with sum equal to 2

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-matrixfunctions over the sphere S² is given.

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Bibliographic Details
Published in:	Algebra and Discrete Mathematics
Date:	2004
Main Author:	Savchuk, Y.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2004
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/156576
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Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	C*-algebra generated by four projections with sum equal to 2 / Y. Savchuk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 126–134. — Бібліогр.: 8 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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