Non-Hausdorff groupoids, proper actions and $K$-theory

By J. Tu. Documenta Mathematica, 2004

69 citations recorded by the source corpus.

Let G be a (not necessarily Hausdorff) locally com- pact groupoid. We introduce a notion of properness for G, which is invariant under Morita-equivalence. We show that any general- ized morphism between two locally compact groupoids which satisfies some properness conditions induces a C ¤ -correspondence from C ¤ r(G2) to C ¤ r(G1), and thus two Morita equivalent groupoids have Morita- equivalent C ¤ -algebras.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f64a9d39b8b172597899723332606786363f2789

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In Algebra and Number Theory

1. Dana P. Williams
2. P. Muhly
3. Xin Li
4. Gelu Popescu
5. Trent Yeend

In Mathematical Physics

1. Dana P. Williams
2. P. Muhly
3. Xin Li
4. Gelu Popescu
5. Elias G. Katsoulis
6. David W. Kribs
7. M. Tomforde
8. Trent Yeend

Citations in the corpus

• RENAULT'S EQUIVALENCE THEOREM FOR GROUPOID CROSSED PRODUCTS (2007, background): “Applications 42 Appendix A. Radon Measures 47 Appendix B. Proof of the Disintegration Theorem 51 References 67”