Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Mark Tomforde"'
The classical Morita Theorem for rings established the equivalence of three statements, involving categorical equivalences, isomorphisms between corners of finite matrix rings, and bimodule homomorphisms. A fourth equivalent statement (established la
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::651f9f7bd93875b93bd8a93c8fd51436
We explicitly construct an Archimedean order unit space whose state space is affinely isomorphic to the set of quantum commuting correlations. Our construction only requires fundamental techniques from the theory of order unit spaces and operator sys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a4595b26323a1f94bfaf3091b73cf07
Publikováno v:
Advances in Mathematics. 390:107923
We show how to construct a graded locally compact Hausdorff \'etale groupoid from a C*-algebra carrying a coaction of a discrete group, together with a suitable abelian subalgebra. We call this groupoid the extended Weyl groupoid. When the coaction i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::342a48ecca693adca696c4e0e3bde79f
https://doi.org/10.1016/j.aim.2021.107923
https://doi.org/10.1016/j.aim.2021.107923
Publikováno v:
Eilers, S, Gabe, J, Katsura, T, Ruiz, E & Tomforde, M 2020, ' The extension problem for graph C*-algebras ', Annals of K-Theory, vol. 5, no. 2, pp. 295-315 . https://doi.org/10.2140/akt.2020.5.295
Ann. K-Theory 5, no. 2 (2020), 295-315
Ann. K-Theory 5, no. 2 (2020), 295-315
We give a complete $K$-theoretical description of when an extension of two simple graph $C^{*}$-algebras is again a graph $C^{*}$-algebra.
Accepted version, to appear in Annals of K-theory
Accepted version, to appear in Annals of K-theory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2f1c6519c86def05ac818a361ffe765
http://arxiv.org/abs/1810.12147
http://arxiv.org/abs/1810.12147
Publikováno v:
Transactions of the American Mathematical Society. 368:3811-3847
There are many classes of nonsimple graph C*-algebras that are classified by the six-term exact sequence in K-theory. In this paper we consider the range of this invariant and determine which cyclic six-term exact sequences can be obtained by various
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64acfcf3de66b333077d695ccbdb7375
https://doi.org/10.1090/tran/6443
https://doi.org/10.1090/tran/6443
Publikováno v:
Advances in Mathematics. 272:96-123
Consider a graph C ⁎ -algebra C ⁎ ( E ) with a purely infinite ideal I (possibly all of C ⁎ ( E ) ) such that I has only finitely many ideals and C ⁎ ( E ) / I is approximately finite dimensional. We prove that the nuclear dimension of C ⁎
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c01e8ff01936c86bcc6850926325e0f7
https://doi.org/10.1016/j.aim.2014.11.015
https://doi.org/10.1016/j.aim.2014.11.015
Autor:
Mark Tomforde, Nishant Suri
Publikováno v:
Illinois J. Math. 61, no. 3-4 (2017), 479-495
Naimark’s problem asks whether a $C^{*}$-algebra that has only one irreducible $*$-representation up to unitary equivalence is isomorphic to the $C^{*}$-algebra of compact operators on some (not necessarily separable) Hilbert space. This problem ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1225583b96e2a08756069f78e96a72d8
https://projecteuclid.org/euclid.ijm/1534924836
https://projecteuclid.org/euclid.ijm/1534924836
Publikováno v:
Semigroup Forum. 89:501-517
Let \(G\) be a locally compact, Hausdorff, etale groupoid whose unit space is totally disconnected. We show that the collection \(A(G)\) of locally-constant, compactly supported complex-valued functions on \(G\) is a dense \(*\)-subalgebra of \(C_c(G
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4b4feec8f1c073ac402db646f4f080f
https://doi.org/10.1007/s00233-014-9594-z
https://doi.org/10.1007/s00233-014-9594-z
Publikováno v:
Advances in Mathematics. 235:321-360
We continue our study of tensor products in the operator system category. We define operator system quotients and exactness in this setting and refine the notion of nuclearity by studying operator systems that preserve various pairs of tensor product
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a36e21f7cfe4d5b2ea8919245f3c2499