PURELY INFINITE, SIMPLE C-ASTERISK-ALGEBRAS ARISING FROM FREE PRODUCTCONSTRUCTIONS

Authors
DYKEMA KJ RORDAM M
Citation
Kj. Dykema et M. Rordam, PURELY INFINITE, SIMPLE C-ASTERISK-ALGEBRAS ARISING FROM FREE PRODUCTCONSTRUCTIONS, Canadian journal of mathematics, 50(2), 1998, pp. 323-341
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Canadian journal of mathematics → ACNP
ISSN journal
0008414X
Volume
50
Issue
2
Year of publication
1998
Pages
323 - 341
Database
ISI
SICI code
0008-414X(1998)50:2<323:PISCAF>2.0.ZU;2-S
Abstract
Examples of simple, separable, unital, purely infinite C-algebras are constructed, including: (1) some that are not approximately divisible; (2) those that arise as crossed products of any of a certain class of C-algebras by any of a certain class of non-unital endomorphisms; (3 ) those that arise as reduced free products of pairs of C-algebras wi th respect to any from a certain class of states.