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

Compositio Mathematica (1984)

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

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topJørgensen, 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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- [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] E. Stømer: Spectra of ergodic transformations. J. funct. Analysis15 (1974) 202-215. Zbl0276.46031MR377544
- [8] H. Takai: On a problem of Sakai in unbounded derivations. J. Funct. Analysis43 (1981) 202-208. Zbl0501.46052MR633976
- [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] 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
- [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
- [2] O. Bratteli and P.E.T. Jørgensen: Unbounded derivations tangential to compact groups of automorphisms. J. Functional Analysis48 (1982) 107-133. Zbl0485.46035MR671318
- [3] P.E.T. Jørgensen: Extensions of unbounded *-derivations in UHF C*-algebras. J. Functional Analysis45 (1982) 341-356. Zbl0486.46044MR650186
- [4] E.C. Lance and A. Niknam: Unbounded derivations of group C*-algebras. Proc. Amer. Math. Soc.61 (1976) 310-314. Zbl0345.46046MR428051
- [5] R.T. Powers and G. Price: Derivations vanishing on S(∞). Comm. Math. Phys.84 (1982) 439-447. Zbl0539.46042

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