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The real C*-algebra of a graph with involution.

Authors :
Boersema, Jeffrey L.
Source :
Münster Journal of Mathematics. 2017, Vol. 10 Issue 2, p485-521. 37p.
Publication Year :
2017

Abstract

We introduce a real C*-algebra C*R(E;γ ) associated to a graph E with an involution γ. In the case that is the identity, this algebra is isomorphic to the real graph algebra C*R(E) studied in [5]. By allowing nontrivial involutions we obtain much larger class of real C*-algebras. We develop some basic theory, and we prove a Pimsner-Voiculescu type long exact sequence for the real K-theory of C*R(E; γ). We present several examples, some that we analyze directly and others that we analyze by combining K-theory computations with classification theorems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
18675778
Volume :
10
Issue :
2
Database :
Academic Search Index
Journal :
Münster Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
126590381
Full Text :
https://doi.org/10.17879/70299517944