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by Xin Ma
Transactions of the American Mathematical Society, ISSN 0002-9947, 10/2019, Volume 372, Issue 10, pp. 7497 - 7520
Let \alpha : G\curvearrowright X be a continuous action of an infinite countable group on a compact Hausdorff space. We show that, under the hypothesis that... 
MATHEMATICS | CLASSIFICATION | C-ASTERISK-ALGEBRAS
Journal Article
Mathematica Scandinavica, ISSN 0025-5521, 2017, Volume 120, Issue 1, pp. 115 - 123
We show that if G is a second countable locally compact Hausdorff etale groupoid carrying a suitable cocycle c: G -> Z, then the reduced C-* -algebra of G can... 
MATHEMATICS | C-ASTERISK-ALGEBRAS
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 12/2018, Volume 370, Issue 12, pp. 8859 - 8893
We develop local forms of Ramsey-theoretic dichotomies for block sequences in infinite-dimensional vector spaces, analogous to Mathias's selective coideal form... 
MATHEMATICS | C-ASTERISK-ALGEBRAS | BANACH-SPACES | SETS
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 11/2017, Volume 2017, Issue 732, pp. 165 - 210
Given a locally compact quantum group , we define and study representations and -completions of the convolution algebra associated with various linear... 
COACTIONS | MATHEMATICS | C-ASTERISK-ALGEBRAS | AMENABILITY | PROPERTY
Journal Article
Mathematica Scandinavica, ISSN 0025-5521, 2015, Volume 117, Issue 1, pp. 5 - 30
We establish that a sigma-compact locally compact groupoid possessing a continuous Haar system is topologically amenable if and only if it is Borel amenable.... 
MATHEMATICS | C-ASTERISK-ALGEBRAS | EQUIVALENCE
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2020, Volume 485, Issue 2, p. 123841
The Toeplitz algebra TC⁎(Λ) for a finite k-graph Λ is equipped with a continuous one-parameter group αr for each r∈Rk, obtained by composing the map... 
KMS states | Higher-rank graphs | Toeplitz algebras | MATHEMATICS | MATHEMATICS, APPLIED | C-ASTERISK-ALGEBRAS | Mathematics - Operator Algebras
Journal Article
by Li, X
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, ISSN 1073-7928, 09/2017, Volume 2017, Issue 17, pp. 5233 - 5259
We introduce the notion of continuous orbit equivalence for partial dynamical systems, and give an equivalent characterization in terms of Cartan-isomorphisms... 
MATHEMATICS | TOPOLOGICAL MARKOV SHIFTS | C-ASTERISK-ALGEBRAS | ORBIT EQUIVALENCE
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 01/2018, Volume 146, Issue 5, pp. 2253 - 2262
We prove, using a weakening of the Proper Forcing Axiom, that any homemomorphism between. Cech-Stone remainders of any two locally compact, zero-dimensional... 
MATHEMATICS | MATHEMATICS, APPLIED | AUTOMORPHISMS | C-ASTERISK-ALGEBRAS | CALKIN ALGEBRA | SATURATION
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 04/2012, Volume 2012, Issue 665, pp. 1 - 71
Denote by the rotation algebra corresponding to the rotation 2 . The C*-algebra 𝔹 generated by together with certain spectral projections of the canonical... 
MATHEMATICS | C-ASTERISK-ALGEBRAS
Journal Article
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, ISSN 0035-7596, 2019, Volume 49, Issue 2, pp. 645 - 660
We introduce the notion of the partial group algebra with projections and relations and show that this C*-algebra is a partial crossed product. Examples of... 
partial crossed product | MATHEMATICS | Partial group algebra | C-ASTERISK-ALGEBRAS
Journal Article
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, ISSN 0002-9947, 12/2019, Volume 372, Issue 11, pp. 8159 - 8194
We study the connection between the Baum-Connes conjecture for an ample groupoid G with coefficient A and the Kunneth formula for the K-theory of tensor... 
MATHEMATICS | K-THEORY | groupoid crossed products | Baum-Connes conjecture | C-ASTERISK-ALGEBRAS | Kunneth formula
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2019, Volume 372, Issue 5, pp. 3669 - 3712
We prove a uniqueness theorem and give a characterization of simplicity for Steinberg algebras associated to non-Hausdorff ample groupoids. We also prove a... 
MATHEMATICS | STATES | Groupoid C-algebra | self-similar graph algebra | Steinberg algebra | C-ASTERISK-ALGEBRAS
Journal Article
COMMUNICATIONS IN MATHEMATICAL PHYSICS, ISSN 0010-3616, 06/2019, Volume 368, Issue 2, pp. 467 - 518
We consider cycles for graded C,r-algebras (Real C-algebras) which are compatible with the -structure and the real structure. Their characters are cyclic... 
CROSSED-PRODUCTS | INDEX | PHYSICS, MATHEMATICAL | C-ASTERISK-ALGEBRAS | Analysis | Algebra
Journal Article
Algebraic and Geometric Topology, ISSN 1472-2747, 04/2013, Volume 13, Issue 2, pp. 1225 - 1241
The Kunneth Theorem for equivariant (complex) K -theory K-G*, in the form developed by Hodgkin and others, fails dramatically when G is a finite group, and... 
MATHEMATICS | C-ASTERISK-ALGEBRAS
Journal Article
Glasgow Mathematical Journal, ISSN 0017-0895, 01/2019, Volume 61, Issue 1, pp. 1 - 11
In this paper, we have shown that the quantum isometry group of C-r*(Z), denoted by Q(Z, S) as in Goswami and Mandal, Rev. Math. Phys. 29(3) (2017), 1750008,... 
MATHEMATICS | AUTOMORPHISM-GROUPS | C-ASTERISK-ALGEBRAS | SYMMETRY GROUPS
Journal Article
Journal fur die Reine und Angewandte Mathematik, ISSN 0075-4102, 05/2010, Volume 642, Issue 642, pp. 129 - 155
We give a number of new characterizations of the Jiang-Su algebra L, both intrinsic and extrinsic, in terms of C*-algebraic, dynamical, topological and... 
MATHEMATICS | Z-STABILITY | ELLIOTT CONJECTURE | COVERING DIMENSION | C-ASTERISK-ALGEBRAS
Journal Article
Advances in Mathematics, ISSN 0001-8708, 03/2020, Volume 362, p. 106940
We study the equilibrium simplex of Nica-Pimsner algebras arising from product systems of finite rank on the free abelian semigroup. First we show that every... 
Product systems | Nica-Pimsner algebras | Equilibrium states | MATHEMATICS | KMS STATES | C-ASTERISK-ALGEBRAS | Nica-Pirnsner algebras | TOPOLOGICAL-ENTROPY
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 11/2018, Volume 364, Issue 1, pp. 357 - 383
A continuous groupoid homomorphism c on a locally compact second countable Hausdorff stale groupoid G gives rise to a C*-dynamical system in which every... 
STATES | PHYSICS, MATHEMATICAL | HIGHER-RANK GRAPHS | C-ASTERISK-ALGEBRAS | Algebra | Mathematics - Operator Algebras
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 10/2018, Volume 370, Issue 10, pp. 6955 - 6972
In the context of operator-space modules over C^*-algebras, we give a complete characterisation of those C^*-correspondences whose associated Haagerup tensor... 
MATHEMATICS | MODULES | INDUCED REPRESENTATIONS | PARABOLIC INDUCTION | THEOREM | C-ASTERISK-ALGEBRAS | RESTRICTION
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 12/2018, Volume 2018, Issue 745, pp. 189 - 229
Motivated by classical facts concerning closed manifolds, we introduce a strong finiteness property in K-homology. We say that a -algebra has if all its... 
MATHEMATICS | BOUNDARY ACTIONS | SPACES | BAUM-CONNES CONJECTURE | C-ASTERISK-ALGEBRAS | AMENABILITY | ISOMETRIC ACTIONS
Journal Article
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