caa a22 4500 386385092 CHVBK 20180307112056.0 cr unu---uuuuu 161130e198909 xx s 000 0 eng 10.1017/S0305004100078130 doi S0305004100078130 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100078130 Mingo James A. Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, K7L 3N6 Completely positive maps which are compact from L∞ to L1 [Elektronische Daten] [James A. Mingo] We define a class of completely positive maps, closed under composition, on a von Neumann algebra. We show that when the algebra has no atomic part, the correspondences associated to this class of completely positive maps are disjoint from the identity correspondence. This enables one simultaneously to generalize the statement and simplify the proof of a theorem of A. Connes and V. F. R. Jones on factors of type II1 with property T. Copyright © Cambridge Philosophical Society 1989 Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/2(1989-09), 313-323 0305-0041 106:2<313 1989 106 PSP https://doi.org/10.1017/S0305004100078130 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100078130 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mingo James A. Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, K7L 3N6 NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/2(1989-09), 313-323 0305-0041 106:2<313 1989 106 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge