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Authors
Affiliations
1 Universidade Federal Da Fronteira Sul, Chapeco, Santa Catarina-89813-140, BR
Source
Journal of the Ramanujan Mathematical Society, Vol 25, No 2 (2010), Pagination: 169-191
Abstract
Ten years ago, J. Villadsen constructed the first examples of simple C*-algebras with stable rank other than one or infinity. Villadsen’s examples all had a unique tracial state.
It is natural to ask whether examples can be found of simple C*-algebras with higher stable rank and more than one tracial state; by building on Villadsen’s construction, we describe such examples that admit arbitrary tracial state spaces.