Ilan Hirshberg (Be'er Sheva): Non-isomorphic simple AH algebras with the same Elliott invariant and same radius of comparison. Oberseminar C*-Algebren.
Tuesday, 09.01.2024 16:15 im Raum SRZ 216/217
Recently, Elliott, Li and Niu proved a classification theorem for Villadsen-type algebras using the combination
of the Elliott invariant and the radius of comparison, an invariant which was introduced by Toms in order
to distinguish between certain non-isomorphic AH algebras with the same Elliott invariant. This might have
raised the prospect that the Elliott classification program can be extended beyond the Z-stable case by adding
the radius of comparison to the invariant. I will discuss a recent preprint in which we show that this is not the case:
we construct an uncountable family of non-isomorphic AH algebras with the same Elliott and same radius of comparison.
We can distinguish between them using a finer invariant, which we call the local radius of comparison.
This is joint work with N. Christopher Phillips.
Angelegt am Tuesday, 29.08.2023 09:54 von Elke Enning
Geändert am Monday, 08.01.2024 12:16 von Elke Enning
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