publication . Other literature type . Article . 2014

The $K$-theory of real graph $C*$-algebras

Jeffrey L. Boersema;
Open Access English
  • Published: 01 Apr 2014
  • Publisher: Rocky Mountain Mathematics Consortium
Abstract
In this paper, we will introduce real graph algebras and develop the theory to the point of being able to calculate the $K$-theory of such algebras. The $K$-theory situation is significantly more complicated than in the case for complex graph algebras. To develop the long exact sequence to compute the $K$-theory of a real graph algebra, we need to develop a generalized theory of crossed products for real C*-algebras for groups with involution. We also need to deal with the additional algebraic intricacies related to the period-8 real $K$-theory using united $K$-theory. Ultimately, we prove that the $K$-theory of a real graph algebra is recoverable from the $K$-t...
Subjects
free text keywords: Graph Algebras, $K$-theory, real C*-algebras, 46L80, Distance-regular graph, Voltage graph, Null graph, Quartic graph, Discrete mathematics, Combinatorics, Regular graph, Simplex graph, Mathematics, Edge-transitive graph, Cubic graph
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publication . Other literature type . Article . 2014

The $K$-theory of real graph $C*$-algebras

Jeffrey L. Boersema;