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- W3034449626 abstract "We introduce higher-dimensional analogs of Kazhdan projections in matrix algebras over group $C^*$-algebras and Roe algebras. These projections are constructed in the framework of cohomology with coefficients in unitary representations and in certain cases give rise to non-trivial $K$-theory classes. We apply the higher Kazhdan projections to establish a relation between $ell_2$-Betti numbers of a group and surjectivity of different Baum-Connes type assembly maps." @default.
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- W3034449626 date "2020-06-16" @default.
- W3034449626 modified "2023-09-27" @default.
- W3034449626 title "Higher Kazhdan projections, $ell_2$-Betti numbers and Baum-Connes conjectures" @default.
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