Nonisomorphic simple AH-algebras with the same Elliott invariant and radius of comparison
Speaker:
N. Christopher Phillips, University of Oregon
Date and Time:
Thursday, December 14, 2023 - 2:00pm to 2:50pm
Location:
Fields Institute, Room 210
Abstract:
For each $r > 0$, we exhibit an uncountable family of pairwise nonisomorphic AH algebras ("multiseed Villadsen algebras'') with the same Elliott invariant and radius of comparison equal to $r$. They are distinguished by a local radius of comparison function, naturally defined on the positive cone of the $K_0$-group. The is a complement to the recent result of Elliott, Li, and Niu, which classifies certain Villadsen algebras of the first kind in terms of the Elliott invariant and radius of comparison.
This is joint work with Ilan Hirshberg.