Hands-on GitHub Actions (Getting Started with GitHub Actions Workflows)

This is an expository article on properties of actions on Lie groups by subgroups of their automorphism groups. After recalling various results on the structure of the automorphism groups, we discuss actions with dense orbits, invariant and quasi-invariant measures, the induced actions on the spaces of probability measures on the groups, and results concerning various issues in ergodic theory, topological dynamics, smooth dynamical systems, and probability theory on Lie groups.

We investigate compact quantum group actions on unital $C^*$-algebras by analyzing invariant subsets and invariant states. In particular, we come up with the concept of compact quantum group orbits and use it to show that countable compact metrizable spaces with infinitely many points are not quantum homogeneous spaces.

When GitHub announced support for CITATION.cfffiles I though ofcreating a package that would assist R developers in this matter. I was alreadyusing codemetar for most of my packages,so I was familiar with the creation of these kind of metadata files.

If you're doing any kind of scientific computing and not using version control, you're doing it wrong. The git version control system and GitHub, a web-based service for hosting and collaborating on git-controlled projects, have both become wildly popular over the last few years.

A probability measure preserving action of Γon (X,μ) is called rigid if the inclusion of L^\infty(X) into the crossed product L^\infty(X) \rtimes Γhas the relative property (T) in the sense of Popa. We give examples of rigid, free, probability measure preserving actions that are ergodic but not strongly ergodic. The same examples show that rigid actions may admit non-rigid quotients.