A structure theorem Lie algebras of unbounded derivations in C * -algebras

Palle E. T. Jørgensen

Compositio Mathematica (1984)

  • Volume: 52, Issue: 1, page 85-98
  • ISSN: 0010-437X

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Jørgensen, Palle E. T.. "A structure theorem Lie algebras of unbounded derivations in $C*$-algebras." Compositio Mathematica 52.1 (1984): 85-98. <http://eudml.org/doc/89654>.

@article{Jørgensen1984,
author = {Jørgensen, Palle E. T.},
journal = {Compositio Mathematica},
keywords = {faithful, ergodic action; -algebra; Lie algebra of all `*- derivations; approximately inner; torsion free; direct decomposition},
language = {eng},
number = {1},
pages = {85-98},
publisher = {Martinus Nijhoff Publishers},
title = {A structure theorem Lie algebras of unbounded derivations in $C*$-algebras},
url = {http://eudml.org/doc/89654},
volume = {52},
year = {1984},
}

TY - JOUR
AU - Jørgensen, Palle E. T.
TI - A structure theorem Lie algebras of unbounded derivations in $C*$-algebras
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 52
IS - 1
SP - 85
EP - 98
LA - eng
KW - faithful, ergodic action; -algebra; Lie algebra of all `*- derivations; approximately inner; torsion free; direct decomposition
UR - http://eudml.org/doc/89654
ER -

References

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  1. [1] O. Bratteli, G.A. Elliott and P.E.T. Jørgensen: Decompostions of unbounded derivations into invariant and approximately inner parts. Journal für die reine und angewandte Math. (Crelle's Journal)346 (1984) 166-193. Zbl0515.46057MR727402
  2. [2] R.K. Lashof: Lie algebras of locally compact groups. Pac. J. Math.7 (1957) 1145-1162. Zbl0081.02204MR92104
  3. [3] D. Olesen, G.K. Pedersen and M. Takesaki: Ergodic actions of compact abelian groups. J. Operator Theory3 (1980) 237-269. Zbl0456.46053MR578942
  4. [4] N.S. Poulsen: On C∞-vectors and intertwining bilinear forms for the representations of Lie groups. J. Funct. Analysis9 (1972) 87-120. Zbl0237.22013
  5. [5] S. Sakai: Developments in the theory of unbounded derivations. In: Symp. in Pure Math., AMS Vol. 38, IInd (1982) 309-331. Zbl0533.46038MR679518
  6. [6] J. Slawny: On factor representations and the C*-algebra of the canonical commutation relations. Comm. Math. Phys.24 (1971) 151-170. Zbl0225.46068MR293942
  7. [7] E. Stømer: Spectra of ergodic transformations. J. funct. Analysis15 (1974) 202-215. Zbl0276.46031MR377544
  8. [8] H. Takai: On a problem of Sakai in unbounded derivations. J. Funct. Analysis43 (1981) 202-208. Zbl0501.46052MR633976
  9. [9] F. Goodman, and P.E.T. Jørgensen: Unbounded derivations commuting with compact group actions. Comm. Math. Phys.82 (1981) 399-405. Zbl0501.46061MR641770
  10. [10] G.A. Elliott: On the K-theory of the C*-algebra generated by a projective representation of a discrete abelian group. Copenhagen Preprint 1981. Zbl0542.46030
  11. [1] H. Araki, R. Haag, D. Kastler and M. Takesaki: Extension of KMS-states and chemical potential. Comm. Math. Phys.53 (1977) 97-134. MR443679
  12. [2] O. Bratteli and P.E.T. Jørgensen: Unbounded derivations tangential to compact groups of automorphisms. J. Functional Analysis48 (1982) 107-133. Zbl0485.46035MR671318
  13. [3] P.E.T. Jørgensen: Extensions of unbounded *-derivations in UHF C*-algebras. J. Functional Analysis45 (1982) 341-356. Zbl0486.46044MR650186
  14. [4] E.C. Lance and A. Niknam: Unbounded derivations of group C*-algebras. Proc. Amer. Math. Soc.61 (1976) 310-314. Zbl0345.46046MR428051
  15. [5] R.T. Powers and G. Price: Derivations vanishing on S(∞). Comm. Math. Phys.84 (1982) 439-447. Zbl0539.46042

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