On a Teichmüller functor between the categories of complex tori and the Effros-Shen algebras.
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Nikolaev, Igor V. (2009)
The New York Journal of Mathematics [electronic only]
David Kruml, Pedro Resende (2004)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
H. Tjerk Koelink (1991)
Compositio Mathematica
Marius Dadarlat (1993)
Mathematische Annalen
David P. Blecher, Charles John Read (2014)
Studia Mathematica
In earlier papers we have introduced and studied a new notion of positivity in operator algebras, with an eye to extending certain C*-algebraic results and theories to more general algebras. Here we continue to develop this positivity and its associated ordering, proving many foundational facts. We also give many applications, for example to noncommutative topology, noncommutative peak sets, lifting problems, peak interpolation, approximate identities, and to order relations between an operator...
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