K-Theory of Noncommutative Lattices

Details K-Theory of Noncommutative Lattices K-Theory of Noncommutative Lattices

1996-07-15

arxiv.org/abs/q-alg/9607017v2

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, latex

Scientific paper

Noncommutative lattices have been recently used as finite topological approximations in quantum physical models. As a first step in the construction of bundles and characteristic classes over such noncommutative spaces, we shall study their $K$-theory. We shall do it algebraically, by studying the algebraic $K$-theory of the associated algebras of `continuous functions' which turn out to be noncommutative approximately finite dimensional (AF) $C^*$-algebra . We also work out several examples.

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