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Group C^∗-algebras as inductive limits: a survey
Sudo, Takahiro
Group C^*-algebra
Inductive limit
C^*-algebra
Lie groups
This is a survey on our study for describing group C^*-algebras as inductive limits. It is shown by our results that the group C^*-algebras of certain type R Lie groups such as the Heisenberg Lie group, motion groups and more general CCR groups have the inductive limit structure by subhomogeneous C^*-algebras, and all non type R solvable Lie group C^*-algebras do not, and the group C^*-algebras of certain nilpotent discrete groups such as the generalized discrete Heisenberg groups have the decomposition into extensions by generalized ASH algebras. Reviews for Lie groups of type R and classification of inductive limit C^*-algebras are also included.
紀要論文
http://purl.org/coar/resource_type/c_6501
Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus
2005-12-30
VoR
http://hdl.handle.net/20.500.12000/43492
1344-008X
AA10779580
Ryukyu mathematical journal
18
88
33
eng
open access