125 research outputs found
On the classification of nonsimple graph C*-algebras
We prove that a graph C*-algebra with exactly one proper nontrivial ideal is
classified up to stable isomorphism by its associated six-term exact sequence
in K-theory. We prove that a similar classification also holds for a graph
C*-algebra with a largest proper ideal that is an AF-algebra. Our results are
based on a general method developed by the first named author with Restorff and
Ruiz. As a key step in the argument, we show how to produce stability for
certain full hereditary subalgebras associated to such graph C*-algebras. We
further prove that, except under trivial circumstances, a unique proper
nontrivial ideal in a graph C*-algebra is stable.Comment: 27 pages, uses XY-pic; Version II comments: A few minor typos
correcte
The Ranges of K-theoretic Invariants for Nonsimple Graph Algebras
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 classes of graph C*-algebras. To accomplish this, we
establish a general method that allows us to form a graph with a given six-term
exact sequence of K-groups by splicing together smaller graphs whose
C*-algebras realize portions of the six-term exact sequence. As rather
immediate consequences, we obtain the first permanence results for extensions
of graph C*-algebras.
We are hopeful that the results and methods presented here will also prove
useful in more general cases, such as situations where the C*-algebras under
investigations have more than one ideal and where there are currently no
relevant classification theories available.Comment: 40 page
Identifying AF-algebras that are graph C*-algebras
We consider the problem of identifying exactly which AF-algebras are
isomorphic to a graph C*-algebra. We prove that any separable, unital, Type I
C*-algebra with finitely many ideals is isomorphic to a graph C*-algebra. This
result allows us to prove that a unital AF-algebra is isomorphic to a graph
C*-algebra if and only if it is a Type I C*-algebra with finitely many ideals.
We also consider nonunital AF-algebras that have a largest ideal with the
property that the quotient by this ideal is the only unital quotient of the
AF-algebra. We show that such an AF-algebra is isomorphic to a graph C*-algebra
if and only if its unital quotient is Type I, which occurs if and only if its
unital quotient is isomorphic to M_k for some natural number k. All of these
results provide vast supporting evidence for the conjecture that an AF-algebra
is isomorphic to a graph C*-algebra if and only if each unital quotient of the
AF-algebra is Type I with finitely many ideals, and bear relevance for the
intrigiung question of finding K-theoretical criteria for when an extension of
two graph C*-algebras is again a graph C*-algebra.Comment: 24 page
Hydroacoustic Survey and Point Sampling of Macrophytes In Diamond Lake 2009
MaxDepth Aquatics, Inc. was contracted to conduct a hydroacoustic survey of macrophyte distribution in Diamond Lake in 2009. The survey essentially repeated surveys conducted in 2002 and 2007, allowing for a detailed assessment of conditions in 2009 and comparisons among previous years. In addition, Portland State University was contracted to conduct a depth stratified random point sample survey of macrophyte species presence and absence. The point sample survey was similar to surveys conducted in 2005 and 2007. The results of the 2009 hydroacoustic survey showed that macrophytes were widely distributed throughout the lake at depths less than 8 meters, although some shorter aggregations of macrophytes were found at depths down to 14 meters. Average canopy height corresponded closely to macrophyte density in 2009. The recent survey showed that macrophytes had extended deeper throughout the lake compared to 2002 and 2007 and that canopy height had increased substantially in some locations. The 2009 distribution showed that recolonization of the near shore areas was proceeding, albeit at a relatively slow pace since the lake drawdown completed in 2006. The maximum density of macrophytes in 2009 was found between 4 to 6 meters. Five macrophyte species, one macroalgal species, and filamentous algae were present in the 2009 random point survey. The occurrence rates of the macrophytes Elodea canadensis, Ceratophyllum demersum, and Potamogeton praelongus in 2009 were similar to 2005 and 2007 while Potamogeton pusillus occurrence increased and Myriophyllum verticillatum decreased. Macrophytes were present in a few samples greater than 9 meters; however, biomass, as measured by the fullness of a sampling rake, was highest between 2 and 6 meters. The comparison of the grab sampling conducted in August with the hydroacoustic survey in early September showed poor correspondence in macrophyte density obtained by the two methods. This is likely due to differences in spatial scales of collected samples (10 m2 grid for hydroacoustics compared to \u3c 1 m2 grab samples), comparison of a continuous analytic tool (hydroacoustic) versus an ordinal ranking of density (rake), and possibly some changes in the macrophytes community between the two sampling dates
The extension problem for graph -algebras
We give a complete -theoretical description of when an extension of two
simple graph -algebras is again a graph -algebra.Comment: Accepted version, to appear in Annals of K-theor
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Development of antisense-mediated myostatin knockdown for the treatment of insulin resistance
Myostatin is a negative regulator of muscle mass and its inhibition represents a promising strategy for the treatment of muscle disorders and type 2 diabetes. However, there is currently no clinically effective myostatin inhibitor, and therefore novel methods are required. We evaluated the use of antisense phosphorodiamidate morpholino oligomers (PMO) to reduce myostatin expression in skeletal muscle and measured their effects on muscle mass and glucose uptake. C57/Bl6 mice received intramuscular or intravenous injections of anti-myostatin PMOs. Repeated intramuscular administration lead to a reduction in myostatin transcript levels (~ 20–40%), and an increase in muscle mass in chow and high-fat diet (HFD)-fed mice, but insulin-stimulated glucose uptake was reduced in PMO-treated muscles of HFD-fed mice. Five weekly intravenous administrations of 100 nmol PMO did not reduce myostatin expression, and therefore had no significant physiological effects. Unexpectedly, exon skipping levels were higher after intramuscular administration of PMO in HFD- than chow-fed mice. These results suggest that a modest PMO-induced reduction in myostatin transcript levels is sufficient to induce an increase in muscle mass, but that a greater degree of inhibition may be required to improve muscle glucose uptake
β-Catenin Directs Nuclear Factor-κB p65 Output via CREB-Binding Protein/p300 in Human Airway Smooth Muscle
β-Catenin is a multifunctional protein that apart from its role in proliferative and differentiation events, also acts upon inflammatory processes, mainly via interaction with nuclear factor-κB (NF-κB). However, there is still controversy as to whether β-catenin facilitates or represses NF-κB output. Insights into the molecular mechanisms underlying the interaction between β-catenin and NF-κB have highlighted the cofactors CREB-binding protein (CBP) and p300 as important candidates. Here, we hypothesized that the interaction of β-catenin with CBP/p300 directs NF-κB output. Using human airway smooth muscle (ASM) cells, we found that β-catenin is essential in interleukin -1β (IL-1β)-mediated expression of interleukin-6 (IL-6) by promoting nuclear translocation of the p65 subunit of NF-κB. These effects were independent from WNT pathway activation or other factors that promote β-catenin signaling. In the nucleus, inhibition of either the CBP- or p300-β-catenin interaction could regulate NF-κB output, by enhancing (CBP inhibition) or inhibiting (p300 inhibition) IL-1β-induced expression of IL-6, respectively. Acetylation of p65 by p300 likely underlies these events, as inhibition of the p300-β-catenin interaction diminished levels of acetylated p65 at lysine 310, thereby reducing p65 transcriptional activity. In conclusion, β-catenin is a critical component of NF-κB-mediated inflammation in human ASM, affecting transcriptional output by interacting with the nuclear cofactors CBP and p300. Targeting β-catenin may be an alternative strategy to treat airway inflammation in patients with airway disease, such as asthma
Investigating Initial Driver Intention on Overtaking on Rural Roads
Driver intention recognition is essential to the development of advanced driver assistance systems providing real-time support. Current approaches for the recognition of overtaking intentions focus on drivers’ observable behaviors, neglecting the fact that the intention to overtake a slower lead car emerges earlier than the resulting behavior. This paper aims to distinguish the "intention emerging process", when drivers form the initial intention to overtake, from the "action executing process", when drivers execute the overtaking maneuver. A driving simulator study has been conducted to investigate the influence of the lead vehicle type and lead vehicle speed on initiating driver’ intention on overtaking on rural roads, and the effect of the complexity of the oncoming traffic on executing overtaking. The results show that the initial driver intention to overtake appears much earlier than the execution of the overtaking maneuver. The lead vehicle speed has a significant influence on initial driver intention in the "intention emerging process", while time to overtake increases with the number of the oncoming vehicles in the "action execution process". These results can contribute to the development of models for driver intention recognition by extending the prediction horizon from the recognition to a prediction of driving maneuvers.
Document type: Conference objec
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