Abstract
We show that any countable subgroup of the multiplicative group R+× of positive real numbers can be realized as the fundamental group F(A) of a separable simple unital C*-algebra A with unique trace. Furthermore for any fixed countable subgroup G of R+×, there exist uncountably many mutually nonisomorphic such algebras A with G=F(A).
Original language | English |
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Pages (from-to) | 428-435 |
Number of pages | 8 |
Journal | Journal of Functional Analysis |
Volume | 260 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jan 15 2011 |
All Science Journal Classification (ASJC) codes
- Analysis