@inbook{6cd4a19b32d34c05a16a5dd67d452d7d,
title = "A K-Theoretic Selberg Trace Formula",
abstract = "Let G be a semisimple Lie group and Γ a uniform lattice in G. The Selberg trace formula is an equality arising from computing in two different ways the traces of convolution operators on the Hilbert space L2(Γ∖G) associated to test functions f ∈ Cc(G). In this paper we present a cohomological interpretation of the trace formula involving the K-theory of the maximal group C∗-algebras of G and Γ. As an application, we exploit the role of group C∗-algebras as recipients of “higher indices” of elliptic differential operators and we obtain the index theoretic version of the Selberg trace formula developed by Barbasch and Moscovici from ours.",
keywords = "Group C-algebra, K-theory, Trace formula, Uniform lattice",
author = "Bram Mesland and {\c S}eng{\"u}n, \{Mehmet Haluk\} and Hang Wang",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",
year = "2020",
doi = "10.1007/978-3-030-43380-2\_19",
language = "英语",
series = "Operator Theory: Advances and Applications",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "403--424",
booktitle = "Operator Theory",
address = "德国",
}