Quasidiagonal Representations of Nilpotent Groups
| Autor: | Caleb Eckhardt |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Pure mathematics
Direct sum Mathematics::Operator Algebras General Mathematics Operator (physics) 010102 general mathematics Mathematics - Operator Algebras Group Theory (math.GR) 16. Peace & justice 01 natural sciences Nilpotent Unitary representation 0103 physical sciences FOS: Mathematics 010307 mathematical physics 0101 mathematics Algebraic number Nilpotent group Operator Algebras (math.OA) Mathematics - Group Theory Mathematics |
| Popis: | We show that every unitary representation of a solvable discrete virtually nilpotent group G is quasidiagonal. Roughly speaking, this says that every unitary representation of G approximately decomposes as a direct sum of finite dimensional approximate representations. In operator algebraic terms we show that C*(G) is strongly quasidiagonal. 16 pages. Fixed errors and clarified some proofs |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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