Geodesic
Property~(T) for topological groups and $C^*$-algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 8, pp. 171-192

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The aim of the present (mostly expository) paper is to show relations of a generalization of Kazhdan's property (T) for $C^*$-algebras introduced in our recent paper, to this of B. Bekka. It is shown that our definition coincides with Bekka's definition for group $C^*$-algebras of locally compact groups, whereas, in general, these definitions are distinct. Criteria for a $C^*$-algebra to possess our property (T) are given. A number of examples of $C^*$-algebras with and without property (T) are considered. Relations to $K$-theory are studied. 
@article{FPM_2007_13_8_a10,
     author = {A. A. Pavlov and E. V. Troitskii},
     title = {Property~(T) for topological groups and $C^*$-algebras},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {171--192},
     publisher = {mathdoc},
     volume = {13},
     number = {8},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_8_a10/}
}
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A. A. Pavlov; E. V. Troitskii. Property~(T) for topological groups and $C^*$-algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 8, pp. 171-192. http://geodesic.mathdoc.fr/item/FPM_2007_13_8_a10/