ANALYTIC PROPERTIES OF APPROXIMATE LATTICES
Journal article, 2020

We introduce a notion of cocycle-induction for strong uniform approximate lattices in locally compact second countable groups and use it to relate (relative) Kazhdan- and Haagerup-type of approximate lattices to the corresponding properties of the ambient locally compact groups. Our approach applies to large classes of uniform approximate lattices (though not all of them) and is flexible enough to cover the L-p-versions of Property (FH) and a-(FH)-menability as well as quasified versions thereof a la Burger-Monod and Ozawa.

Property (T)

Property (FH)

Approximate lattices

Haagerup Property

Author

Michael Björklund

Chalmers, Mathematical Sciences, Analysis and Probability Theory

University of Gothenburg

Tobias Hartnick

Karlsruhe Institute of Technology (KIT)

Annales de lInstitut Fourier

0373-0956 (ISSN)

Vol. 70 5 1903-1950

Subject Categories

Algebra and Logic

Geometry

Mathematical Analysis

More information

Latest update

5/24/2021