Open AccessGroup quasi-representations and almost flat bundles
Author(s) -
Marius Dădărlat
Publication year - 2014
Publication title -
journal of noncommutative geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.037
H-Index - 26
eISSN - 1661-6960
pISSN - 1661-6952
DOI - 10.4171/jncg/152
Subject(s) - mathematics , group (periodic table) , pure mathematics , algebra over a field , geometry , organic chemistry , chemistry
We study the existence of quasi-representations of discrete groups G into unitary groups U(n) that induce prescribed partial maps K0(C ∗(G)) → Z on the K-theory of the group C*-algebra of G. We give conditions for a discrete group G under which the K-theory group of the classifying space BG consists entirely of almost flat classes.
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