✦ LIBER ✦

Induced Corepresentations of Locally Compact Quantum Groups

✍ Scribed by Johan Kustermans

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 381 KB
Volume: 194
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2002.3953

No coin nor oath required. For personal study only.

✦ Synopsis

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 between quasi-invariant measures and certain measures on the larger locally compact group. # 2002 Elsevier Science (USA)

📜 SIMILAR VOLUMES

Connectedness properties of locally comp

Connectedness properties of locally compact groups

✍ H. Boseck; G. Czichowski 📂 Article 📅 1979 🏛 John Wiley and Sons 🌐 English ⚖ 467 KB

The Unitary Implementation of a Locally

The Unitary Implementation of a Locally Compact Quantum Group Action

✍ Stefaan Vaes 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 315 KB

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

Weak Amenability of Banach Algebras on L

Weak Amenability of Banach Algebras on Locally Compact Groups

✍ A.T.-M. Lau; R.J. Loy 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 439 KB

Recent work by various authors has considered the implications of Banach algebra amenability for various algebras defined over locally compact groups, one of the basic tools being the fact that a continuous homomorphic image of an amenable algebra is again amenable. In the present paper we look at t

Lower Multiplicity for Irreducible Repre

Lower Multiplicity for Irreducible Representations of Nilpotent Locally Compact Groups

✍ Eberhard Kaniuth 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 141 KB

Let G be a nilpotent locally compact group. The lower multiplicity M L (?) is defined for every irreducible representation ? of G, which does not form an open point in the dual space G of G. It is shown that M L (?)=1 if either G is connected or ? is finite dimensional. Conversely, for G a nilpotent

Non-Commutative Chern Characters of Comp

Non-Commutative Chern Characters of Compact Quantum Group

✍ Do Ngoc Diep; Aderemi O. Kuku; Nguyen Quoc Tho 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 146 KB

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.

Semisimple Banach Algebras Generated by

Semisimple Banach Algebras Generated by Strongly Continuous Representations of Locally Compact Abelian Groups

✍ G. Muraz; V.Q. Phong 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 207 KB

We prove that if \(T\) is a strongly based continuous bounded representation of a locally compact abelian group \(G\) on a Banach Space \(X\), and if the spectrum of \(T\) is countable, then the Banach algebra generated by \(f(T)=\int_{G} f(g) T(g) d g\), \(f \in L^{1}(G)\), is semisimple. 1994 Acad