منابع مشابه
Recurrence for Stationary Group Actions
Using a structure theorem from [3] we prove a version of multiple recurrence for sets of positive measure in a general stationary dynamical system.
متن کاملBordism, and Free Group Actions
In this paper we give characteristic class formulae for all semicharacteristic classes of all compact, closed manifolds with finite fundamental groups. These invariants are identified with elements in certain odd L-groups, and exactly which elements occur is specified. An appendix calculates the cohomology of the model groups needed. A second appendix determines the structure of the L-groups ne...
متن کاملFixed Point Formulas and Loop Group Actions
In this paper we present a new fixed point formula associated with loop group actions on infinite dimensional manifolds. This formula provides information for certain infinite dimensional situations similarly as the well known Atiyah-BottSegal-Singer’s formula does in finite dimension. A generalization of the latter to orbifolds will be used as an intermediate step. There exist extensive litera...
متن کاملNonsingular Group Actions and Stationary Sαs Random Fields
This paper deals with measurable stationary symmetric stable random fields indexed by Rd and their relationship with the ergodic theory of nonsingular Rd-actions. Based on the phenomenal work of Rosiński (2000), we establish extensions of some structure results of stationary SαS processes to SαS fields. Depending on the ergodic theoretical nature of the underlying action, we observe different b...
متن کاملJumps in Cohomology and Free Group Actions
A discrete group G has periodic cohomology over R if there is an element in a cohomology group, cup product with which induces an isomorphism in cohomology after a certain dimension. Adem and Smith showed if R = Z, then this condition is equivalent to the existence of a finite dimensional free-G-CWcomplex homotopy equivalent to a sphere. It has been conjectured by Olympia Talelli, that if G is ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1967
ISSN: 0002-9939
DOI: 10.2307/2035804