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Erratum: J. Eur. Math. Soc. 1, 199–235 (1999)

Erratum: J. Eur. Math. Soc. 1, 199–235 (1999) J. Eur. Math. Soc. 1, 338 c Springer-Verlag & EMS 1999 Erratum M. Burger N. Monod Bounded cohomology of lattices in higher rank Lie groups J. Eur. Math. Soc. 1, 199–235 (1999) An assumption is missing in the statement of our Theorems 1.1 and 1.2 in [1]. When considering a unitary representation .;H/ of a lattice 0 in a product G of Lie groups among which rank one factors occur, one ./ of G does has to suppose that the induced unitary representation Ind not contain a subrepresentation which factors non-trivially through a rank one factor. Likewise, for Theorem 1.2, denoting by G the closure of the canonical projection 0 ! AutT , the induced unitary representation of G  G should not contain a subrepresentation factoring non-trivially 1 2 through G or G . 1 2 In the proofs given in [1], the omitted assumption was needed on pages 231 and 233 when claiming thatH D 0. In particular, Theorem 1.1 holds unchanged as soon as all factors have rank at least two. Notice also that the Theorems 1.1 and 1.2 hold without change for the trivial unitary representation on C, and hence imply all corollaries stated in http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the European Mathematical Society Springer Journals

Erratum: J. Eur. Math. Soc. 1, 199–235 (1999)

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Journal of the European Mathematical Society , Volume 1 (3) – Sep 1, 1999

Erratum: J. Eur. Math. Soc. 1, 199–235 (1999)

Abstract

J. Eur. Math. Soc. 1, 338 c Springer-Verlag & EMS 1999 Erratum M. Burger N. Monod Bounded cohomology of lattices in higher rank Lie groups J. Eur. Math. Soc. 1, 199–235 (1999) An assumption is missing in the statement of our Theorems 1.1 and 1.2 in [1]. When considering a unitary representation .;H/ of a lattice 0 in a product G of Lie groups among which rank one factors occur, one ./ of G does has to suppose that the induced unitary representation Ind not contain a...
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Publisher
Springer Journals
Copyright
Copyright © 1999 by Springer-Verlag Berlin Heidelberg & EMS
Subject
Mathematics; Mathematics, general
ISSN
1435-9855
DOI
10.1007/s100970050010
Publisher site
See Article on Publisher Site

Abstract

J. Eur. Math. Soc. 1, 338 c Springer-Verlag & EMS 1999 Erratum M. Burger N. Monod Bounded cohomology of lattices in higher rank Lie groups J. Eur. Math. Soc. 1, 199–235 (1999) An assumption is missing in the statement of our Theorems 1.1 and 1.2 in [1]. When considering a unitary representation .;H/ of a lattice 0 in a product G of Lie groups among which rank one factors occur, one ./ of G does has to suppose that the induced unitary representation Ind not contain a subrepresentation which factors non-trivially through a rank one factor. Likewise, for Theorem 1.2, denoting by G the closure of the canonical projection 0 ! AutT , the induced unitary representation of G  G should not contain a subrepresentation factoring non-trivially 1 2 through G or G . 1 2 In the proofs given in [1], the omitted assumption was needed on pages 231 and 233 when claiming thatH D 0. In particular, Theorem 1.1 holds unchanged as soon as all factors have rank at least two. Notice also that the Theorems 1.1 and 1.2 hold without change for the trivial unitary representation on C, and hence imply all corollaries stated in

Journal

Journal of the European Mathematical SocietySpringer Journals

Published: Sep 1, 1999

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