Indecomposable characters of infinite dimensional groups associated with operator algebras

2013/08/28 by Takumi Enomoto, Enomoto, Takumi, Masaki Izumi +1 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.OA #math.RT

paper · pdf · doi:10.48550/arxiv.1308.6329

34 pages

arxiv created 2013/08/28 · arxiv updated 2013/08/30

Abstract

We determine the indecomposable characters of several classes of infinite dimensional groups associated with operator algebras, including the unitary groups of arbitrary unital simple AF algebras and II₁ factors.

Cited by

• Schur-Weyl duality for the unitary groups of II₁-factors

Related

• A Complete Classification Of The Admissible Representations Of Infinite-Dimensional Classical Matrix Groups
• Reduction for characters of finite algebra groups
• Indecomposable Hopf *-algebra representations with invariant inner product
• Characters of infinite-dimensional quantum classical groups: BCD cases
• Unitary representations of groups, duals, and characters