dorsal/arxiv
View SchemaK-Theory of Noncommutative Lattices
| Authors | Elisa Ercolessi, Giovanni Landi, Paulo Teotonio-Sobrinho |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9607017 |
| URL | https://arxiv.org/abs/q-alg/9607017 |
Abstract
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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"abstract": "Noncommutative lattices have been recently used as finite topological\napproximations in quantum physical models. As a first step in the construction\nof bundles and characteristic classes over such noncommutative spaces, we shall\nstudy their $K$-theory. We shall do it algebraically, by studying the algebraic\n$K$-theory of the associated algebras of `continuous functions\u0027 which turn out\nto be noncommutative approximately finite dimensional (AF) $C^*$-algebra . We\nalso work out several examples.",
"arxiv_id": "q-alg/9607017",
"authors": [
"Elisa Ercolessi",
"Giovanni Landi",
"Paulo Teotonio-Sobrinho"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "K-Theory of Noncommutative Lattices",
"url": "https://arxiv.org/abs/q-alg/9607017"
},
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