Inner amenability of Lau algebras

 Access to full text

 Full (PDF)

 Access to full text

1. Akeman C. A., Operator algebras associated with Fuchsian groups, Houston J. Math. 7 (1981), 295–301. (1981) MR0640971
2. Bekka M. A., Amenable unitary representations of locally compact groups, Invent. Math. 100 (1990), 383–401. (1990) Zbl0702.22010MR1047140
3. Bonsall F. F., Duncan J., Complete normed algebras, Springer-Verlag, New York, 1973. (1973) Zbl0271.46039MR0423029
4. Choda M., Choda M., Fullness, simplicity and inner amenability, Math. Japon. 24 (1979), 235–246. (1979) Zbl0436.46050MR0550002
5. Choda M., The factors of inner amenable groups, Math. Japon. 24 (1979), 145–152. (1979) Zbl0407.46055MR0539400
6. Choda M., Effect of inner amenability on strong ergodicity, Math. Japon. 28 (1983), 109–115. (1983) Zbl0523.46040MR0692558
7. Effros E. G., Property $\Gamma$ and inner amenability, Proc. Amer. Math. Soc. 47 (1975), 483–486. (1975) Zbl0321.22011MR0355626
8. Ghahramani F., Lau A. T., Multipliers and modulus on Banach algebras related to locally compact groups, J. Funct. Anal. 150 (1997), 478–497. (1997) Zbl0891.22007MR1479549
9. Kaniuth E., Markfort A., The conjugation representation and inner amenability of discrete groups, J. Reine Angew. Math. 432 (1992), 23–37. (1992) Zbl0754.22001MR1184756
10. Lau A. T., Analysis on a class of Banach algebras with application to harmonic analysis on locally compact groups and semigroups, Fund. Math. 118 (1983), 161–175. (1983) MR0736276
11. Lau A. T., Uniformly continuous functionals on Banach algebras, Colloq. Math. LI (1987), 195–205. (1987) Zbl0621.43005MR0891287
12. Lau A. T., Paterson A. L., Operator theoretic characterizations of [IN]-groups and inner amenability, Proc. Amer. Math. Soc. 102 (1988), 155–169. (1988) Zbl0644.43002MR0934862
13. Lau A. T., Paterson A. L., Inner amenable locally compact groups, Trans. Amer. Math. Soc. 325 (1991), 155–169. (1991) Zbl0718.43002MR1010885
14. Lau A. T., Wong J. C., Invariant subspaces for algebras of linear operators and amenable locally compact groups, Proc. Amer. Math. Soc. 102 (1988), 581–586. (1988) Zbl0645.43002MR0928984
15. Ling J. M., Inner amenable semigroups I, J. Math. Soc. Japan 49 (1997), 603–616. (1997) Zbl0899.43002MR1452705
16. Losert V., Rindler H., Asympototically central functions and invariant extensions of Dirac measures, Probability Measures on Groups, Proc. Conf., Oberwolfach, 1983. (1983) MR0772419
17. Losert V., Rindler H., Conjugate invariant means, Colloq. Math. 15 (1987), 221–225. (1987) MR0891290
18. Namioka I., Følner condition for amenable semigroups, Math. Scand. 15 (1964), 18–28. (1964) MR0180832
19. Nasr-Isfahani R., Factorization in some ideals of Lau algebras with application to semigroup algebras, Bull. Belg. Math. Soc. 7 (2000), 429–433. MR1788147
20. Paschke W. L., Inner amenability and conjugate operators, Proc. Amer. Math. Soc. 71 (1978), 117–118. (1978) MR0473849
21. Paterson A. L., Amenability, Mathematical Surveys and Monographs, No. 29, Amer. Math. Soc., Providence, R. I., 1988. (1988) Zbl0648.43001MR0961261
22. Pier J. P., Quasi-invariance interieure sur les groupes localement compacts, Actualités Math. (1982), 431–436. (1982) Zbl0487.43002
23. Pier J. P., Amenable locally compact groups, John Wiley and Sons, New York, 1984. (1984) Zbl0621.43001MR0767264
24. Pier J. P., Amenable Banach algebras, Pitman Res. Notes Math. Ser., London, 1988. (1988) Zbl0676.46036MR0942218
25. Sakai S., $C^{*}$-algebras and $W^{*}$-algebras, Springer-Verlag, Berlin and New York, 1971. (1971) Zbl0233.46074MR0442701
26. Takesaki M., Theory of operator algebras, Springer-Verlag, Berlin and New York, 1979. (1979) Zbl0436.46043MR0548728
27. Watatani Y., The character groups of amenable group $C^{*}$-algebras, Math. Japon. 24 (1979), 141–144. (1979) Zbl0412.46050MR0539399
28. Yuan C. K., The existence of inner invariant means on $L^{\infty }\left(G\right)$, J. Math. Anal. Appl. 130 (1988), 514–524. (1988) MR0929957