Finite sums and products of commutators in inductive limit C * -algebras

Klaus Thomsen

Annales de l'institut Fourier (1993)

  • Volume: 43, Issue: 1, page 225-249
  • ISSN: 0373-0956

Abstract

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Results of T. Fack, P. de la Harpe and G. Skandalis concerning the internal structure of simple A F -algebras are extended to C * -algebras that are inductive limits of finite direct sums of homogeneous C * -algebras. The generalizations are obtained with slightly varying assumptions on the building blocks, but all results are applicable to unital simple inductive limits of finite direct sums of circle algebras.

How to cite

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Thomsen, Klaus. "Finite sums and products of commutators in inductive limit $C^*$-algebras." Annales de l'institut Fourier 43.1 (1993): 225-249. <http://eudml.org/doc/74990>.

@article{Thomsen1993,
abstract = {Results of T. Fack, P. de la Harpe and G. Skandalis concerning the internal structure of simple $AF$-algebras are extended to $C^*$-algebras that are inductive limits of finite direct sums of homogeneous $C^*$-algebras. The generalizations are obtained with slightly varying assumptions on the building blocks, but all results are applicable to unital simple inductive limits of finite direct sums of circle algebras.},
author = {Thomsen, Klaus},
journal = {Annales de l'institut Fourier},
keywords = {-algebras that are inductive limits of finite direct sums of homogeneous -algebras; -algebras; unital simple inductive limits of finite direct sums of circle algebras},
language = {eng},
number = {1},
pages = {225-249},
publisher = {Association des Annales de l'Institut Fourier},
title = {Finite sums and products of commutators in inductive limit $C^*$-algebras},
url = {http://eudml.org/doc/74990},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Thomsen, Klaus
TI - Finite sums and products of commutators in inductive limit $C^*$-algebras
JO - Annales de l'institut Fourier
PY - 1993
PB - Association des Annales de l'Institut Fourier
VL - 43
IS - 1
SP - 225
EP - 249
AB - Results of T. Fack, P. de la Harpe and G. Skandalis concerning the internal structure of simple $AF$-algebras are extended to $C^*$-algebras that are inductive limits of finite direct sums of homogeneous $C^*$-algebras. The generalizations are obtained with slightly varying assumptions on the building blocks, but all results are applicable to unital simple inductive limits of finite direct sums of circle algebras.
LA - eng
KW - -algebras that are inductive limits of finite direct sums of homogeneous -algebras; -algebras; unital simple inductive limits of finite direct sums of circle algebras
UR - http://eudml.org/doc/74990
ER -

References

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