Recursive subhomogeneous algebras

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dc.creatorPhillips, N. Christopher
dc.date2001-01-18
dc.date.accessioned2026-07-07T04:39:43Z
dc.date.available2026-07-07T04:39:43Z
dc.descriptionWe introduce and characterize a particularly tractable class of unital type 1 C*-algebras with bounded dimension of irreducible representations. Algebras in this class are called recursive subhomogeneous algebras, and they have an inductive description (through iterated pullbacks) which allows one to carry over from algebras of the form C (X, M_n) many of the constructions relevant in the study of the stable rank and K-theory of simple direct limits of homogeneous C*-algebras. Our characterization implies in particular that if A is a separable C*-algebra whose irreducible representations all have dimension at most N (for some finite N), and if for each n the space of n-dimensional irreducible representations has finite covering dimension, then A is a recursive subhomogeneous algebra. We demonstrate the good properties of this class by proving subprojection and cancellation theorems in it.
dc.description29 pages, AMSLaTeX
dc.identifierhttps://arxiv.org/abs/math/0101156
dc.identifierhttp://arxiv.org/abs/math/0101156
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60781
dc.subjectOperator Algebras
dc.subject46L05 (Primary) 19A13, 19B14, 19K14, 46L80 (Secondary)
dc.titleRecursive subhomogeneous algebras
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