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- W2949862090 abstract "We prove that for matrix algebras $M_n$ there exists a monomorphism $(prod_n M_n/oplus_n M_n)otimes C(S^1) to {cal Q} $ into the Calkin algebra which induces an isomorphism of the $K_1$-groups. As a consequence we show that every vector bundle over a classifying space $Bpi$ which can be obtained from an asymptotic representation of a discrete group $pi$ can be obtained also from a representation of the group $pitimes Z$ into the Calkin algebra. We give also a generalization of the notion of Fredholm representation and show that asymptotic representations can be viewed as asymptotic Fredholm representations." @default.
- W2949862090 created "2019-06-27" @default.
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- W2949862090 date "1997-07-16" @default.
- W2949862090 modified "2023-09-27" @default.
- W2949862090 title "Relations between asymptotic and Fredholm representations" @default.
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