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arXiv · funct-an/9701005

Meet irreducible ideals in direct limit algebras

Allan P. Donsig·Alan Hopenwasser·Timothy D. Hudson·Michael P. Lamoureux·Baruch Solel
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Abstract

We study the meet irreducible ideals in certain direct limit algebras, namely the strongly maximal triangular subalgebras of AF C*-algebras. These ideals have a description in terms of the coordinates, or spectrum, that is a natural extension of one description of meet irreducible ideals in the upper triangular matrices. Additional information is available if the limit algebra is an analytic subalgebra of its C*-envelope or if the analytic algebra is trivially analytic with an injective 0-cocycle. Completely meet irreducible ideals are considered, and a distance formula is presented.

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BibTeXRIS

Allan P. Donsig, Alan Hopenwasser, Timothy D. Hudson, Michael P. Lamoureux, Baruch Solel. 1997-01-21. Meet irreducible ideals in direct limit algebras. https://arxiv.org/abs/funct-an/9701005

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