Homotopy Classification of Projections in the Corona Algebra of a Non-simple C*-algebra

DOI10.4153/CJM-2011-092-xzbMath1256.46033arXiv1010.1936OpenAlexW2326198231MaRDI QIDQ2903304

Hyun Ho Lee, Lawrence G. Brown

Publication date: 8 August 2012

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1936

zbMATH Keywords

corona algebraessential codimensioncontinuous field of Hilbert spaces

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05)

Related Items (5)

Projection lifting from the corona algebra using UCT ⋮ Remarks on essential codimension ⋮ Kadison's Pythagorean theorem and essential codimension ⋮ Homotopy classification of homogeneous projections in the corona algebra of \(C(X,B)\) for a graph \(X\) ⋮ Deformation of a projection in the multiplier algebra and projection lifting from the corona algebra of a non-simple \(C^\ast\)-algebra

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