We discuss some relationships between two different fields, a non-commutative version of the Poisson boundary theory of random walks and the infinite tensor product (ITP) actions of compact quantum groups on von Neumann algebras. In contrast to the ordinary compact group case, the ITP action of a co
Non-Commutative Chern Characters of Compact Quantum Group
โ Scribed by Do Ngoc Diep; Aderemi O. Kuku; Nguyen Quoc Tho
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 146 KB
- Volume
- 226
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we compute the K-theory (algebraic and topological) and entire periodic cyclic homology for compact quantum groups, define Chern characters between them, and show that the Chern characters in both topological and algebraic cases are isomorphisms modulo torsion.
๐ SIMILAR VOLUMES
We introduce the construction of induced corepresentations in the setting of locally compact quantum groups and prove that the resulting induced corepresentations are unitary under some mild integrability condition. We also establish a quantum analogue of the classical bijective correspondence betwe
In this paper we study actions of locally compact quantum groups on von Neumann algebras and prove that every action has a canonical unitary implementation, paralleling Haagerup's classical result on the unitary implementation of a locally compact group action. This result is an important tool in th
The irreducible Brauer characters of SL q are investigated for primes l not n ลฝ . dividing q. They are described in terms of a set of ordinary characters of SL q n whose reductions modulo l are a generating set of the additive group of generalized Brauer characters and the decomposition numbers of t