Group C^∗-algebras as inductive limits: a survey

• Sudo, Takahiro

Abstract

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

Journal

• Ryukyu mathematical journal

  Ryukyu mathematical journal 18 33-88, 2005-12-30

  Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus

Keywords

• Group C^*-algebra
• Inductive limit
• C^*-algebra
• Lie groups

Details

• CRID: 1050574201783203712
• NII Article ID: 120006552023
• NII Book ID: AA10779580
• ISSN: 1344008X
• HANDLE: 20.500.12000/43492
• Web Site: https://u-ryukyu.repo.nii.ac.jp/records/2010314
• Text Lang: en
• Article Type: departmental bulletin paper
• Data Source:
  • IRDB
  • CiNii Articles